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

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


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

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

Reorder the terms:
32 + -3y = 4(-3 + 2y)
32 + -3y = (-3 * 4 + 2y * 4)
32 + -3y = (-12 + 8y)

Solving
32 + -3y = -12 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
32 + -3y + -8y = -12 + 8y + -8y

Combine like terms: -3y + -8y = -11y
32 + -11y = -12 + 8y + -8y

Combine like terms: 8y + -8y = 0
32 + -11y = -12 + 0
32 + -11y = -12

Add '-32' to each side of the equation.
32 + -32 + -11y = -12 + -32

Combine like terms: 32 + -32 = 0
0 + -11y = -12 + -32
-11y = -12 + -32

Combine like terms: -12 + -32 = -44
-11y = -44

Divide each side by '-11'.
y = 4

Simplifying
y = 4

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