4(2y+4)=3(y-6)

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Solution for 4(2y+4)=3(y-6) equation: 


Simplifying
4(2y + 4) = 3(y + -6)

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

Reorder the terms:
16 + 8y = 3(-6 + y)
16 + 8y = (-6 * 3 + y * 3)
16 + 8y = (-18 + 3y)

Solving
16 + 8y = -18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
16 + 8y + -3y = -18 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
16 + 5y = -18 + 0
16 + 5y = -18

Add '-16' to each side of the equation.
16 + -16 + 5y = -18 + -16

Combine like terms: 16 + -16 = 0
0 + 5y = -18 + -16
5y = -18 + -16

Combine like terms: -18 + -16 = -34
5y = -34

Divide each side by '5'.
y = -6.8

Simplifying
y = -6.8

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