y+53=4y-13

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Solution for y+53=4y-13 equation:


Simplifying
y + 53 = 4y + -13

Reorder the terms:
53 + y = 4y + -13

Reorder the terms:
53 + y = -13 + 4y

Solving
53 + y = -13 + 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.
53 + y + -4y = -13 + 4y + -4y

Combine like terms: y + -4y = -3y
53 + -3y = -13 + 4y + -4y

Combine like terms: 4y + -4y = 0
53 + -3y = -13 + 0
53 + -3y = -13

Add '-53' to each side of the equation.
53 + -53 + -3y = -13 + -53

Combine like terms: 53 + -53 = 0
0 + -3y = -13 + -53
-3y = -13 + -53

Combine like terms: -13 + -53 = -66
-3y = -66

Divide each side by '-3'.
y = 22

Simplifying
y = 22

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