11(8-y)+3=-3(y-3)-4

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Solution for 11(8-y)+3=-3(y-3)-4 equation: 


Simplifying
11(8 + -1y) + 3 = -3(y + -3) + -4
(8 * 11 + -1y * 11) + 3 = -3(y + -3) + -4
(88 + -11y) + 3 = -3(y + -3) + -4

Reorder the terms:
88 + 3 + -11y = -3(y + -3) + -4

Combine like terms: 88 + 3 = 91
91 + -11y = -3(y + -3) + -4

Reorder the terms:
91 + -11y = -3(-3 + y) + -4
91 + -11y = (-3 * -3 + y * -3) + -4
91 + -11y = (9 + -3y) + -4

Reorder the terms:
91 + -11y = 9 + -4 + -3y

Combine like terms: 9 + -4 = 5
91 + -11y = 5 + -3y

Solving
91 + -11y = 5 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
91 + -11y + 3y = 5 + -3y + 3y

Combine like terms: -11y + 3y = -8y
91 + -8y = 5 + -3y + 3y

Combine like terms: -3y + 3y = 0
91 + -8y = 5 + 0
91 + -8y = 5

Add '-91' to each side of the equation.
91 + -91 + -8y = 5 + -91

Combine like terms: 91 + -91 = 0
0 + -8y = 5 + -91
-8y = 5 + -91

Combine like terms: 5 + -91 = -86
-8y = -86

Divide each side by '-8'.
y = 10.75

Simplifying
y = 10.75

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