-69+13y+4=5(4y-5)-5

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Solution for -69+13y+4=5(4y-5)-5 equation:


Simplifying
-69 + 13y + 4 = 5(4y + -5) + -5

Reorder the terms:
-69 + 4 + 13y = 5(4y + -5) + -5

Combine like terms: -69 + 4 = -65
-65 + 13y = 5(4y + -5) + -5

Reorder the terms:
-65 + 13y = 5(-5 + 4y) + -5
-65 + 13y = (-5 * 5 + 4y * 5) + -5
-65 + 13y = (-25 + 20y) + -5

Reorder the terms:
-65 + 13y = -25 + -5 + 20y

Combine like terms: -25 + -5 = -30
-65 + 13y = -30 + 20y

Solving
-65 + 13y = -30 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-65 + 13y + -20y = -30 + 20y + -20y

Combine like terms: 13y + -20y = -7y
-65 + -7y = -30 + 20y + -20y

Combine like terms: 20y + -20y = 0
-65 + -7y = -30 + 0
-65 + -7y = -30

Add '65' to each side of the equation.
-65 + 65 + -7y = -30 + 65

Combine like terms: -65 + 65 = 0
0 + -7y = -30 + 65
-7y = -30 + 65

Combine like terms: -30 + 65 = 35
-7y = 35

Divide each side by '-7'.
y = -5

Simplifying
y = -5

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