Solve for y 3(y-1)-2y+3=5y+4y+10

Math
3(y-1)-2y+3=5y+4y+10
Simplify 3(y-1)-2y+3.
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Simplify each term.
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Apply the distributive property.
3y+3⋅-1-2y+3=5y+4y+10
Multiply 3 by -1.
3y-3-2y+3=5y+4y+10
3y-3-2y+3=5y+4y+10
Simplify by adding terms.
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Combine the opposite terms in 3y-3-2y+3.
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Add -3 and 3.
3y-2y+0=5y+4y+10
Add 3y-2y and 0.
3y-2y=5y+4y+10
3y-2y=5y+4y+10
Subtract 2y from 3y.
y=5y+4y+10
y=5y+4y+10
y=5y+4y+10
Add 5y and 4y.
y=9y+10
Move all terms containing y to the left side of the equation.
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Subtract 9y from both sides of the equation.
y-9y=10
Subtract 9y from y.
-8y=10
-8y=10
Divide each term by -8 and simplify.
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Divide each term in -8y=10 by -8.
-8y-8=10-8
Cancel the common factor of -8.
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Cancel the common factor.
-8y-8=10-8
Divide y by 1.
y=10-8
y=10-8
Simplify 10-8.
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Cancel the common factor of 10 and -8.
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Factor 2 out of 10.
y=2(5)-8
Cancel the common factors.
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Factor 2 out of -8.
y=2⋅52⋅-4
Cancel the common factor.
y=2⋅52⋅-4
Rewrite the expression.
y=5-4
y=5-4
y=5-4
Move the negative in front of the fraction.
y=-54
y=-54
y=-54
The result can be shown in multiple forms.
Exact Form:
y=-54
Decimal Form:
y=-1.25
Mixed Number Form:
y=-114
Solve for y 3(y-1)-2y+3=5y+4y+10

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