3(y-2)-7=12-2y+6

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Solution for 3(y-2)-7=12-2y+6 equation:


Simplifying
3(y + -2) + -7 = 12 + -2y + 6

Reorder the terms:
3(-2 + y) + -7 = 12 + -2y + 6
(-2 * 3 + y * 3) + -7 = 12 + -2y + 6
(-6 + 3y) + -7 = 12 + -2y + 6

Reorder the terms:
-6 + -7 + 3y = 12 + -2y + 6

Combine like terms: -6 + -7 = -13
-13 + 3y = 12 + -2y + 6

Reorder the terms:
-13 + 3y = 12 + 6 + -2y

Combine like terms: 12 + 6 = 18
-13 + 3y = 18 + -2y

Solving
-13 + 3y = 18 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-13 + 3y + 2y = 18 + -2y + 2y

Combine like terms: 3y + 2y = 5y
-13 + 5y = 18 + -2y + 2y

Combine like terms: -2y + 2y = 0
-13 + 5y = 18 + 0
-13 + 5y = 18

Add '13' to each side of the equation.
-13 + 13 + 5y = 18 + 13

Combine like terms: -13 + 13 = 0
0 + 5y = 18 + 13
5y = 18 + 13

Combine like terms: 18 + 13 = 31
5y = 31

Divide each side by '5'.
y = 6.2

Simplifying
y = 6.2

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