4(y+2)-6-3+12+4=8(y-5)-4+17-1

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Solution for 4(y+2)-6-3+12+4=8(y-5)-4+17-1 equation: 


Simplifying
4(y + 2) + -6 + -3 + 12 + 4 = 8(y + -5) + -4 + 17 + -1

Reorder the terms:
4(2 + y) + -6 + -3 + 12 + 4 = 8(y + -5) + -4 + 17 + -1
(2 * 4 + y * 4) + -6 + -3 + 12 + 4 = 8(y + -5) + -4 + 17 + -1
(8 + 4y) + -6 + -3 + 12 + 4 = 8(y + -5) + -4 + 17 + -1

Reorder the terms:
8 + -6 + -3 + 12 + 4 + 4y = 8(y + -5) + -4 + 17 + -1

Combine like terms: 8 + -6 = 2
2 + -3 + 12 + 4 + 4y = 8(y + -5) + -4 + 17 + -1

Combine like terms: 2 + -3 = -1
-1 + 12 + 4 + 4y = 8(y + -5) + -4 + 17 + -1

Combine like terms: -1 + 12 = 11
11 + 4 + 4y = 8(y + -5) + -4 + 17 + -1

Combine like terms: 11 + 4 = 15
15 + 4y = 8(y + -5) + -4 + 17 + -1

Reorder the terms:
15 + 4y = 8(-5 + y) + -4 + 17 + -1
15 + 4y = (-5 * 8 + y * 8) + -4 + 17 + -1
15 + 4y = (-40 + 8y) + -4 + 17 + -1

Reorder the terms:
15 + 4y = -40 + -4 + 17 + -1 + 8y

Combine like terms: -40 + -4 = -44
15 + 4y = -44 + 17 + -1 + 8y

Combine like terms: -44 + 17 = -27
15 + 4y = -27 + -1 + 8y

Combine like terms: -27 + -1 = -28
15 + 4y = -28 + 8y

Solving
15 + 4y = -28 + 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.
15 + 4y + -8y = -28 + 8y + -8y

Combine like terms: 4y + -8y = -4y
15 + -4y = -28 + 8y + -8y

Combine like terms: 8y + -8y = 0
15 + -4y = -28 + 0
15 + -4y = -28

Add '-15' to each side of the equation.
15 + -15 + -4y = -28 + -15

Combine like terms: 15 + -15 = 0
0 + -4y = -28 + -15
-4y = -28 + -15

Combine like terms: -28 + -15 = -43
-4y = -43

Divide each side by '-4'.
y = 10.75

Simplifying
y = 10.75

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