5y+2=y-7

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


Simplifying
5y + 2 = y + -7

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

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

Solving
2 + 5y = -7 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
2 + 5y + -1y = -7 + y + -1y

Combine like terms: 5y + -1y = 4y
2 + 4y = -7 + y + -1y

Combine like terms: y + -1y = 0
2 + 4y = -7 + 0
2 + 4y = -7

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

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

Combine like terms: -7 + -2 = -9
4y = -9

Divide each side by '4'.
y = -2.25

Simplifying
y = -2.25

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