3(2y-5)-2=7-2y

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Solution for 3(2y-5)-2=7-2y equation:


Simplifying
3(2y + -5) + -2 = 7 + -2y

Reorder the terms:
3(-5 + 2y) + -2 = 7 + -2y
(-5 * 3 + 2y * 3) + -2 = 7 + -2y
(-15 + 6y) + -2 = 7 + -2y

Reorder the terms:
-15 + -2 + 6y = 7 + -2y

Combine like terms: -15 + -2 = -17
-17 + 6y = 7 + -2y

Solving
-17 + 6y = 7 + -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.
-17 + 6y + 2y = 7 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-17 + 8y = 7 + -2y + 2y

Combine like terms: -2y + 2y = 0
-17 + 8y = 7 + 0
-17 + 8y = 7

Add '17' to each side of the equation.
-17 + 17 + 8y = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 8y = 7 + 17
8y = 7 + 17

Combine like terms: 7 + 17 = 24
8y = 24

Divide each side by '8'.
y = 3

Simplifying
y = 3

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