5y+4-3y-7=9y-7+y+20

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Solution for 5y+4-3y-7=9y-7+y+20 equation:


Simplifying
5y + 4 + -3y + -7 = 9y + -7 + y + 20

Reorder the terms:
4 + -7 + 5y + -3y = 9y + -7 + y + 20

Combine like terms: 4 + -7 = -3
-3 + 5y + -3y = 9y + -7 + y + 20

Combine like terms: 5y + -3y = 2y
-3 + 2y = 9y + -7 + y + 20

Reorder the terms:
-3 + 2y = -7 + 20 + 9y + y

Combine like terms: -7 + 20 = 13
-3 + 2y = 13 + 9y + y

Combine like terms: 9y + y = 10y
-3 + 2y = 13 + 10y

Solving
-3 + 2y = 13 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-3 + 2y + -10y = 13 + 10y + -10y

Combine like terms: 2y + -10y = -8y
-3 + -8y = 13 + 10y + -10y

Combine like terms: 10y + -10y = 0
-3 + -8y = 13 + 0
-3 + -8y = 13

Add '3' to each side of the equation.
-3 + 3 + -8y = 13 + 3

Combine like terms: -3 + 3 = 0
0 + -8y = 13 + 3
-8y = 13 + 3

Combine like terms: 13 + 3 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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