4(y+3)=8y-16

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Solution for 4(y+3)=8y-16 equation:


Simplifying
4(y + 3) = 8y + -16

Reorder the terms:
4(3 + y) = 8y + -16
(3 * 4 + y * 4) = 8y + -16
(12 + 4y) = 8y + -16

Reorder the terms:
12 + 4y = -16 + 8y

Solving
12 + 4y = -16 + 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.
12 + 4y + -8y = -16 + 8y + -8y

Combine like terms: 4y + -8y = -4y
12 + -4y = -16 + 8y + -8y

Combine like terms: 8y + -8y = 0
12 + -4y = -16 + 0
12 + -4y = -16

Add '-12' to each side of the equation.
12 + -12 + -4y = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -4y = -16 + -12
-4y = -16 + -12

Combine like terms: -16 + -12 = -28
-4y = -28

Divide each side by '-4'.
y = 7

Simplifying
y = 7

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