4(y-4)=6y-32

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Solution for 4(y-4)=6y-32 equation:


Simplifying
4(y + -4) = 6y + -32

Reorder the terms:
4(-4 + y) = 6y + -32
(-4 * 4 + y * 4) = 6y + -32
(-16 + 4y) = 6y + -32

Reorder the terms:
-16 + 4y = -32 + 6y

Solving
-16 + 4y = -32 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-16 + 4y + -6y = -32 + 6y + -6y

Combine like terms: 4y + -6y = -2y
-16 + -2y = -32 + 6y + -6y

Combine like terms: 6y + -6y = 0
-16 + -2y = -32 + 0
-16 + -2y = -32

Add '16' to each side of the equation.
-16 + 16 + -2y = -32 + 16

Combine like terms: -16 + 16 = 0
0 + -2y = -32 + 16
-2y = -32 + 16

Combine like terms: -32 + 16 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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