7y+10-5y=10+y-9

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Solution for 7y+10-5y=10+y-9 equation:


Simplifying
7y + 10 + -5y = 10 + y + -9

Reorder the terms:
10 + 7y + -5y = 10 + y + -9

Combine like terms: 7y + -5y = 2y
10 + 2y = 10 + y + -9

Reorder the terms:
10 + 2y = 10 + -9 + y

Combine like terms: 10 + -9 = 1
10 + 2y = 1 + y

Solving
10 + 2y = 1 + 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.
10 + 2y + -1y = 1 + y + -1y

Combine like terms: 2y + -1y = 1y
10 + 1y = 1 + y + -1y

Combine like terms: y + -1y = 0
10 + 1y = 1 + 0
10 + 1y = 1

Add '-10' to each side of the equation.
10 + -10 + 1y = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = 1 + -10
1y = 1 + -10

Combine like terms: 1 + -10 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9

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