11(5-y)+4=-4(y-2)-5

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Solution for 11(5-y)+4=-4(y-2)-5 equation: 


Simplifying
11(5 + -1y) + 4 = -4(y + -2) + -5
(5 * 11 + -1y * 11) + 4 = -4(y + -2) + -5
(55 + -11y) + 4 = -4(y + -2) + -5

Reorder the terms:
55 + 4 + -11y = -4(y + -2) + -5

Combine like terms: 55 + 4 = 59
59 + -11y = -4(y + -2) + -5

Reorder the terms:
59 + -11y = -4(-2 + y) + -5
59 + -11y = (-2 * -4 + y * -4) + -5
59 + -11y = (8 + -4y) + -5

Reorder the terms:
59 + -11y = 8 + -5 + -4y

Combine like terms: 8 + -5 = 3
59 + -11y = 3 + -4y

Solving
59 + -11y = 3 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
59 + -11y + 4y = 3 + -4y + 4y

Combine like terms: -11y + 4y = -7y
59 + -7y = 3 + -4y + 4y

Combine like terms: -4y + 4y = 0
59 + -7y = 3 + 0
59 + -7y = 3

Add '-59' to each side of the equation.
59 + -59 + -7y = 3 + -59

Combine like terms: 59 + -59 = 0
0 + -7y = 3 + -59
-7y = 3 + -59

Combine like terms: 3 + -59 = -56
-7y = -56

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

Simplifying
y = 8

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