(3y+53)=(7y-55)

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Solution for (3y+53)=(7y-55) equation:


Simplifying
(3y + 53) = (7y + -55)

Reorder the terms:
(53 + 3y) = (7y + -55)

Remove parenthesis around (53 + 3y)
53 + 3y = (7y + -55)

Reorder the terms:
53 + 3y = (-55 + 7y)

Remove parenthesis around (-55 + 7y)
53 + 3y = -55 + 7y

Solving
53 + 3y = -55 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
53 + 3y + -7y = -55 + 7y + -7y

Combine like terms: 3y + -7y = -4y
53 + -4y = -55 + 7y + -7y

Combine like terms: 7y + -7y = 0
53 + -4y = -55 + 0
53 + -4y = -55

Add '-53' to each side of the equation.
53 + -53 + -4y = -55 + -53

Combine like terms: 53 + -53 = 0
0 + -4y = -55 + -53
-4y = -55 + -53

Combine like terms: -55 + -53 = -108
-4y = -108

Divide each side by '-4'.
y = 27

Simplifying
y = 27

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