5y+2=3y-7

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Solution for 5y+2=3y-7 equation:


Simplifying
5y + 2 = 3y + -7

Reorder the terms:
2 + 5y = 3y + -7

Reorder the terms:
2 + 5y = -7 + 3y

Solving
2 + 5y = -7 + 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.
2 + 5y + -3y = -7 + 3y + -3y

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

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

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

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

Combine like terms: -7 + -2 = -9
2y = -9

Divide each side by '2'.
y = -4.5

Simplifying
y = -4.5

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