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

Reorder the terms:
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 = 2
-4y = 2

Divide each side by '-4'.
y = -0.5

Simplifying
y = -0.5

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