-5(y-3)+4(y-2)=32

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Solution for -5(y-3)+4(y-2)=32 equation: 


Simplifying
-5(y + -3) + 4(y + -2) = 32

Reorder the terms:
-5(-3 + y) + 4(y + -2) = 32
(-3 * -5 + y * -5) + 4(y + -2) = 32
(15 + -5y) + 4(y + -2) = 32

Reorder the terms:
15 + -5y + 4(-2 + y) = 32
15 + -5y + (-2 * 4 + y * 4) = 32
15 + -5y + (-8 + 4y) = 32

Reorder the terms:
15 + -8 + -5y + 4y = 32

Combine like terms: 15 + -8 = 7
7 + -5y + 4y = 32

Combine like terms: -5y + 4y = -1y
7 + -1y = 32

Solving
7 + -1y = 32

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1y = 32 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 32 + -7
-1y = 32 + -7

Combine like terms: 32 + -7 = 25
-1y = 25

Divide each side by '-1'.
y = -25

Simplifying
y = -25

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