# Combine 6/8-7/10*(y+4/9) 68-710⋅(y+49)
Simplify each term.
Cancel the common factor of 6 and 8.
Factor 2 out of 6.
2(3)8-710⋅(y+49)
Cancel the common factors.
Factor 2 out of 8.
2⋅32⋅4-710⋅(y+49)
Cancel the common factor.
2⋅32⋅4-710⋅(y+49)
Rewrite the expression.
34-710⋅(y+49)
34-710⋅(y+49)
34-710⋅(y+49)
To write y as a fraction with a common denominator, multiply by 99.
34-710⋅(y⋅99+49)
Combine y and 99.
34-710⋅(y⋅99+49)
Combine the numerators over the common denominator.
34-710⋅y⋅9+49
Move 9 to the left of y.
34-710⋅9y+49
Multiply -710⋅9y+49.
Multiply 9y+49 and 710.
34-(9y+4)⋅79⋅10
Multiply 9 by 10.
34-(9y+4)⋅790
34-(9y+4)⋅790
Move 7 to the left of 9y+4.
34-7(9y+4)90
34-7(9y+4)90
To write 34 as a fraction with a common denominator, multiply by 4545.
34⋅4545-7(9y+4)90
To write -7(9y+4)90 as a fraction with a common denominator, multiply by 22.
34⋅4545-7(9y+4)90⋅22
Write each expression with a common denominator of 180, by multiplying each by an appropriate factor of 1.
Multiply 34 and 4545.
3⋅454⋅45-7(9y+4)90⋅22
Multiply 4 by 45.
3⋅45180-7(9y+4)90⋅22
Multiply 7(9y+4)90 and 22.
3⋅45180-7(9y+4)⋅290⋅2
Multiply 90 by 2.
3⋅45180-7(9y+4)⋅2180
3⋅45180-7(9y+4)⋅2180
Combine the numerators over the common denominator.
3⋅45-7(9y+4)⋅2180
Simplify the numerator.
Multiply 3 by 45.
135-7(9y+4)⋅2180
Apply the distributive property.
135+(-7(9y)-7⋅4)⋅2180
Multiply 9 by -7.
135+(-63y-7⋅4)⋅2180
Multiply -7 by 4.
135+(-63y-28)⋅2180
Apply the distributive property.
135-63y⋅2-28⋅2180
Multiply 2 by -63.
135-126y-28⋅2180
Multiply -28 by 2.
135-126y-56180
Subtract 56 from 135.
-126y+79180
-126y+79180
Simplify with factoring out.
Factor -1 out of -126y.
-(126y)+79180
Rewrite 79 as -1(-79).
-(126y)-1(-79)180
Factor -1 out of -(126y)-1(-79).
-(126y-79)180
Simplify the expression.
Rewrite -(126y-79) as -1(126y-79).
-1(126y-79)180
Move the negative in front of the fraction.
-126y-79180
-126y-79180
-126y-79180
Combine 6/8-7/10*(y+4/9)

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