7*y+23=4*y+8*y-22

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Solution for 7*y+23=4*y+8*y-22 equation: 


Simplifying
7y + 23 = 4y + 8y + -22

Reorder the terms:
23 + 7y = 4y + 8y + -22

Reorder the terms:
23 + 7y = -22 + 4y + 8y

Combine like terms: 4y + 8y = 12y
23 + 7y = -22 + 12y

Solving
23 + 7y = -22 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
23 + 7y + -12y = -22 + 12y + -12y

Combine like terms: 7y + -12y = -5y
23 + -5y = -22 + 12y + -12y

Combine like terms: 12y + -12y = 0
23 + -5y = -22 + 0
23 + -5y = -22

Add '-23' to each side of the equation.
23 + -23 + -5y = -22 + -23

Combine like terms: 23 + -23 = 0
0 + -5y = -22 + -23
-5y = -22 + -23

Combine like terms: -22 + -23 = -45
-5y = -45

Divide each side by '-5'.
y = 9

Simplifying
y = 9

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