5y+8-3y=7+y-10

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Solution for 5y+8-3y=7+y-10 equation:


Simplifying
5y + 8 + -3y = 7 + y + -10

Reorder the terms:
8 + 5y + -3y = 7 + y + -10

Combine like terms: 5y + -3y = 2y
8 + 2y = 7 + y + -10

Reorder the terms:
8 + 2y = 7 + -10 + y

Combine like terms: 7 + -10 = -3
8 + 2y = -3 + y

Solving
8 + 2y = -3 + 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.
8 + 2y + -1y = -3 + y + -1y

Combine like terms: 2y + -1y = 1y
8 + 1y = -3 + y + -1y

Combine like terms: y + -1y = 0
8 + 1y = -3 + 0
8 + 1y = -3

Add '-8' to each side of the equation.
8 + -8 + 1y = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 1y = -3 + -8
1y = -3 + -8

Combine like terms: -3 + -8 = -11
1y = -11

Divide each side by '1'.
y = -11

Simplifying
y = -11

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