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

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


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

Reorder the terms:
3(-3 + y) + -5y = 2y + 7
(-3 * 3 + y * 3) + -5y = 2y + 7
(-9 + 3y) + -5y = 2y + 7

Combine like terms: 3y + -5y = -2y
-9 + -2y = 2y + 7

Reorder the terms:
-9 + -2y = 7 + 2y

Solving
-9 + -2y = 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.
-9 + -2y + -2y = 7 + 2y + -2y

Combine like terms: -2y + -2y = -4y
-9 + -4y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + -4y = 7 + 0
-9 + -4y = 7

Add '9' to each side of the equation.
-9 + 9 + -4y = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -4y = 7 + 9
-4y = 7 + 9

Combine like terms: 7 + 9 = 16
-4y = 16

Divide each side by '-4'.
y = -4

Simplifying
y = -4

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