2(y+8)=4(4y-6)+2y

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Solution for 2(y+8)=4(4y-6)+2y equation:


Simplifying
2(y + 8) = 4(4y + -6) + 2y

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

Reorder the terms:
16 + 2y = 4(-6 + 4y) + 2y
16 + 2y = (-6 * 4 + 4y * 4) + 2y
16 + 2y = (-24 + 16y) + 2y

Combine like terms: 16y + 2y = 18y
16 + 2y = -24 + 18y

Solving
16 + 2y = -24 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
16 + 2y + -18y = -24 + 18y + -18y

Combine like terms: 2y + -18y = -16y
16 + -16y = -24 + 18y + -18y

Combine like terms: 18y + -18y = 0
16 + -16y = -24 + 0
16 + -16y = -24

Add '-16' to each side of the equation.
16 + -16 + -16y = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -16y = -24 + -16
-16y = -24 + -16

Combine like terms: -24 + -16 = -40
-16y = -40

Divide each side by '-16'.
y = 2.5

Simplifying
y = 2.5

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