5y+3=y-7

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


Simplifying
5y + 3 = y + -7

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

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

Solving
3 + 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.
3 + 5y + -1y = -7 + y + -1y

Combine like terms: 5y + -1y = 4y
3 + 4y = -7 + y + -1y

Combine like terms: y + -1y = 0
3 + 4y = -7 + 0
3 + 4y = -7

Add '-3' to each side of the equation.
3 + -3 + 4y = -7 + -3

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

Combine like terms: -7 + -3 = -10
4y = -10

Divide each side by '4'.
y = -2.5

Simplifying
y = -2.5

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