8+3y-7=9y+10-5y

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Solution for 8+3y-7=9y+10-5y equation: 


Simplifying
8 + 3y + -7 = 9y + 10 + -5y

Reorder the terms:
8 + -7 + 3y = 9y + 10 + -5y

Combine like terms: 8 + -7 = 1
1 + 3y = 9y + 10 + -5y

Reorder the terms:
1 + 3y = 10 + 9y + -5y

Combine like terms: 9y + -5y = 4y
1 + 3y = 10 + 4y

Solving
1 + 3y = 10 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
1 + 3y + -4y = 10 + 4y + -4y

Combine like terms: 3y + -4y = -1y
1 + -1y = 10 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + -1y = 10 + 0
1 + -1y = 10

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

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

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

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

Simplifying
y = -9

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