2(y+2)+3=-8(y-4)

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Solution for 2(y+2)+3=-8(y-4) equation:


Simplifying
2(y + 2) + 3 = -8(y + -4)

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

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

Combine like terms: 4 + 3 = 7
7 + 2y = -8(y + -4)

Reorder the terms:
7 + 2y = -8(-4 + y)
7 + 2y = (-4 * -8 + y * -8)
7 + 2y = (32 + -8y)

Solving
7 + 2y = 32 + -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.
7 + 2y + 8y = 32 + -8y + 8y

Combine like terms: 2y + 8y = 10y
7 + 10y = 32 + -8y + 8y

Combine like terms: -8y + 8y = 0
7 + 10y = 32 + 0
7 + 10y = 32

Add '-7' to each side of the equation.
7 + -7 + 10y = 32 + -7

Combine like terms: 7 + -7 = 0
0 + 10y = 32 + -7
10y = 32 + -7

Combine like terms: 32 + -7 = 25
10y = 25

Divide each side by '10'.
y = 2.5

Simplifying
y = 2.5

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