2y+34+y-56=0

To write 2y+34 as a fraction with a common denominator, multiply by 33.

2y+34⋅33+y-56=0

To write y-56 as a fraction with a common denominator, multiply by 22.

2y+34⋅33+y-56⋅22=0

Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.

Multiply 2y+34 and 33.

(2y+3)⋅34⋅3+y-56⋅22=0

Multiply 4 by 3.

(2y+3)⋅312+y-56⋅22=0

Multiply y-56 and 22.

(2y+3)⋅312+(y-5)⋅26⋅2=0

Multiply 6 by 2.

(2y+3)⋅312+(y-5)⋅212=0

(2y+3)⋅312+(y-5)⋅212=0

Combine the numerators over the common denominator.

(2y+3)⋅3+(y-5)⋅212=0

Rewrite (2y+3)⋅3+(y-5)⋅212 in a factored form.

Apply the distributive property.

2y⋅3+3⋅3+(y-5)⋅212=0

Multiply 3 by 2.

6y+3⋅3+(y-5)⋅212=0

Multiply 3 by 3.

6y+9+(y-5)⋅212=0

Apply the distributive property.

6y+9+y⋅2-5⋅212=0

Move 2 to the left of y.

6y+9+2⋅y-5⋅212=0

Multiply -5 by 2.

6y+9+2y-1012=0

Add 6y and 2y.

8y+9-1012=0

Subtract 10 from 9.

8y-112=0

8y-112=0

8y-112=0

Multiply both sides of the equation by 12.

8y-1=0⋅(12)

Remove parentheses.

8y-1=0⋅(12)

Multiply 0 by 12.

8y-1=0

Add 1 to both sides of the equation.

8y=1

Divide each term by 8 and simplify.

Divide each term in 8y=1 by 8.

8y8=18

Cancel the common factor of 8.

Cancel the common factor.

8y8=18

Divide y by 1.

y=18

y=18

y=18

y=18

The result can be shown in multiple forms.

Exact Form:

y=18

Decimal Form:

y=0.125

Solve for y (2y+3)/4+(y-5)/6=0