2(2y+4)+4=3(3y+4)-16

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Solution for 2(2y+4)+4=3(3y+4)-16 equation:


Simplifying
2(2y + 4) + 4 = 3(3y + 4) + -16

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

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

Combine like terms: 8 + 4 = 12
12 + 4y = 3(3y + 4) + -16

Reorder the terms:
12 + 4y = 3(4 + 3y) + -16
12 + 4y = (4 * 3 + 3y * 3) + -16
12 + 4y = (12 + 9y) + -16

Reorder the terms:
12 + 4y = 12 + -16 + 9y

Combine like terms: 12 + -16 = -4
12 + 4y = -4 + 9y

Solving
12 + 4y = -4 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
12 + 4y + -9y = -4 + 9y + -9y

Combine like terms: 4y + -9y = -5y
12 + -5y = -4 + 9y + -9y

Combine like terms: 9y + -9y = 0
12 + -5y = -4 + 0
12 + -5y = -4

Add '-12' to each side of the equation.
12 + -12 + -5y = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -5y = -4 + -12
-5y = -4 + -12

Combine like terms: -4 + -12 = -16
-5y = -16

Divide each side by '-5'.
y = 3.2

Simplifying
y = 3.2

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