7y+8=4y-13

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Solution for 7y+8=4y-13 equation:


Simplifying
7y + 8 = 4y + -13

Reorder the terms:
8 + 7y = 4y + -13

Reorder the terms:
8 + 7y = -13 + 4y

Solving
8 + 7y = -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.
8 + 7y + -4y = -13 + 4y + -4y

Combine like terms: 7y + -4y = 3y
8 + 3y = -13 + 4y + -4y

Combine like terms: 4y + -4y = 0
8 + 3y = -13 + 0
8 + 3y = -13

Add '-8' to each side of the equation.
8 + -8 + 3y = -13 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = -13 + -8
3y = -13 + -8

Combine like terms: -13 + -8 = -21
3y = -21

Divide each side by '3'.
y = -7

Simplifying
y = -7

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