7y+5=3y-3

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Solution for 7y+5=3y-3 equation:


Simplifying
7y + 5 = 3y + -3

Reorder the terms:
5 + 7y = 3y + -3

Reorder the terms:
5 + 7y = -3 + 3y

Solving
5 + 7y = -3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
5 + 7y + -3y = -3 + 3y + -3y

Combine like terms: 7y + -3y = 4y
5 + 4y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
5 + 4y = -3 + 0
5 + 4y = -3

Add '-5' to each side of the equation.
5 + -5 + 4y = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 4y = -3 + -5
4y = -3 + -5

Combine like terms: -3 + -5 = -8
4y = -8

Divide each side by '4'.
y = -2

Simplifying
y = -2

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