y+(2y-3)+(y-7)=12

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Solution for y+(2y-3)+(y-7)=12 equation: 


Simplifying
y + (2y + -3) + (y + -7) = 12

Reorder the terms:
y + (-3 + 2y) + (y + -7) = 12

Remove parenthesis around (-3 + 2y)
y + -3 + 2y + (y + -7) = 12

Reorder the terms:
y + -3 + 2y + (-7 + y) = 12

Remove parenthesis around (-7 + y)
y + -3 + 2y + -7 + y = 12

Reorder the terms:
-3 + -7 + y + 2y + y = 12

Combine like terms: -3 + -7 = -10
-10 + y + 2y + y = 12

Combine like terms: y + 2y = 3y
-10 + 3y + y = 12

Combine like terms: 3y + y = 4y
-10 + 4y = 12

Solving
-10 + 4y = 12

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 4y = 12 + 10

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

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

Divide each side by '4'.
y = 5.5

Simplifying
y = 5.5

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