-3(y-6)-4(9-2y)=-32-16

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Solution for -3(y-6)-4(9-2y)=-32-16 equation: 


Simplifying
-3(y + -6) + -4(9 + -2y) = -32 + -16

Reorder the terms:
-3(-6 + y) + -4(9 + -2y) = -32 + -16
(-6 * -3 + y * -3) + -4(9 + -2y) = -32 + -16
(18 + -3y) + -4(9 + -2y) = -32 + -16
18 + -3y + (9 * -4 + -2y * -4) = -32 + -16
18 + -3y + (-36 + 8y) = -32 + -16

Reorder the terms:
18 + -36 + -3y + 8y = -32 + -16

Combine like terms: 18 + -36 = -18
-18 + -3y + 8y = -32 + -16

Combine like terms: -3y + 8y = 5y
-18 + 5y = -32 + -16

Combine like terms: -32 + -16 = -48
-18 + 5y = -48

Solving
-18 + 5y = -48

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 5y = -48 + 18

Combine like terms: -18 + 18 = 0
0 + 5y = -48 + 18
5y = -48 + 18

Combine like terms: -48 + 18 = -30
5y = -30

Divide each side by '5'.
y = -6

Simplifying
y = -6

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