-61+13y+4=4(5y-3)-3

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Solution for -61+13y+4=4(5y-3)-3 equation:


Simplifying
-61 + 13y + 4 = 4(5y + -3) + -3

Reorder the terms:
-61 + 4 + 13y = 4(5y + -3) + -3

Combine like terms: -61 + 4 = -57
-57 + 13y = 4(5y + -3) + -3

Reorder the terms:
-57 + 13y = 4(-3 + 5y) + -3
-57 + 13y = (-3 * 4 + 5y * 4) + -3
-57 + 13y = (-12 + 20y) + -3

Reorder the terms:
-57 + 13y = -12 + -3 + 20y

Combine like terms: -12 + -3 = -15
-57 + 13y = -15 + 20y

Solving
-57 + 13y = -15 + 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.
-57 + 13y + -20y = -15 + 20y + -20y

Combine like terms: 13y + -20y = -7y
-57 + -7y = -15 + 20y + -20y

Combine like terms: 20y + -20y = 0
-57 + -7y = -15 + 0
-57 + -7y = -15

Add '57' to each side of the equation.
-57 + 57 + -7y = -15 + 57

Combine like terms: -57 + 57 = 0
0 + -7y = -15 + 57
-7y = -15 + 57

Combine like terms: -15 + 57 = 42
-7y = 42

Divide each side by '-7'.
y = -6

Simplifying
y = -6

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