-76+8y+5=4(4y-2)-7

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Solution for -76+8y+5=4(4y-2)-7 equation:


Simplifying
-76 + 8y + 5 = 4(4y + -2) + -7

Reorder the terms:
-76 + 5 + 8y = 4(4y + -2) + -7

Combine like terms: -76 + 5 = -71
-71 + 8y = 4(4y + -2) + -7

Reorder the terms:
-71 + 8y = 4(-2 + 4y) + -7
-71 + 8y = (-2 * 4 + 4y * 4) + -7
-71 + 8y = (-8 + 16y) + -7

Reorder the terms:
-71 + 8y = -8 + -7 + 16y

Combine like terms: -8 + -7 = -15
-71 + 8y = -15 + 16y

Solving
-71 + 8y = -15 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-71 + 8y + -16y = -15 + 16y + -16y

Combine like terms: 8y + -16y = -8y
-71 + -8y = -15 + 16y + -16y

Combine like terms: 16y + -16y = 0
-71 + -8y = -15 + 0
-71 + -8y = -15

Add '71' to each side of the equation.
-71 + 71 + -8y = -15 + 71

Combine like terms: -71 + 71 = 0
0 + -8y = -15 + 71
-8y = -15 + 71

Combine like terms: -15 + 71 = 56
-8y = 56

Divide each side by '-8'.
y = -7

Simplifying
y = -7

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