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

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


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

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

Combine like terms: -61 + 3 = -58
-58 + 13y = 4(5y + -3) + -4

Reorder the terms:
-58 + 13y = 4(-3 + 5y) + -4
-58 + 13y = (-3 * 4 + 5y * 4) + -4
-58 + 13y = (-12 + 20y) + -4

Reorder the terms:
-58 + 13y = -12 + -4 + 20y

Combine like terms: -12 + -4 = -16
-58 + 13y = -16 + 20y

Solving
-58 + 13y = -16 + 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.
-58 + 13y + -20y = -16 + 20y + -20y

Combine like terms: 13y + -20y = -7y
-58 + -7y = -16 + 20y + -20y

Combine like terms: 20y + -20y = 0
-58 + -7y = -16 + 0
-58 + -7y = -16

Add '58' to each side of the equation.
-58 + 58 + -7y = -16 + 58

Combine like terms: -58 + 58 = 0
0 + -7y = -16 + 58
-7y = -16 + 58

Combine like terms: -16 + 58 = 42
-7y = 42

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

Simplifying
y = -6

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