10y-22+6y=12y+10

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Solution for 10y-22+6y=12y+10 equation:


Simplifying
10y + -22 + 6y = 12y + 10

Reorder the terms:
-22 + 10y + 6y = 12y + 10

Combine like terms: 10y + 6y = 16y
-22 + 16y = 12y + 10

Reorder the terms:
-22 + 16y = 10 + 12y

Solving
-22 + 16y = 10 + 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.
-22 + 16y + -12y = 10 + 12y + -12y

Combine like terms: 16y + -12y = 4y
-22 + 4y = 10 + 12y + -12y

Combine like terms: 12y + -12y = 0
-22 + 4y = 10 + 0
-22 + 4y = 10

Add '22' to each side of the equation.
-22 + 22 + 4y = 10 + 22

Combine like terms: -22 + 22 = 0
0 + 4y = 10 + 22
4y = 10 + 22

Combine like terms: 10 + 22 = 32
4y = 32

Divide each side by '4'.
y = 8

Simplifying
y = 8

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