5y+7=3y-4

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Solution for 5y+7=3y-4 equation:


Simplifying
5y + 7 = 3y + -4

Reorder the terms:
7 + 5y = 3y + -4

Reorder the terms:
7 + 5y = -4 + 3y

Solving
7 + 5y = -4 + 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.
7 + 5y + -3y = -4 + 3y + -3y

Combine like terms: 5y + -3y = 2y
7 + 2y = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
7 + 2y = -4 + 0
7 + 2y = -4

Add '-7' to each side of the equation.
7 + -7 + 2y = -4 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = -4 + -7
2y = -4 + -7

Combine like terms: -4 + -7 = -11
2y = -11

Divide each side by '2'.
y = -5.5

Simplifying
y = -5.5

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