3(y-2)+15=3(y-3)+6y

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Solution for 3(y-2)+15=3(y-3)+6y equation:


Simplifying
3(y + -2) + 15 = 3(y + -3) + 6y

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

Reorder the terms:
-6 + 15 + 3y = 3(y + -3) + 6y

Combine like terms: -6 + 15 = 9
9 + 3y = 3(y + -3) + 6y

Reorder the terms:
9 + 3y = 3(-3 + y) + 6y
9 + 3y = (-3 * 3 + y * 3) + 6y
9 + 3y = (-9 + 3y) + 6y

Combine like terms: 3y + 6y = 9y
9 + 3y = -9 + 9y

Solving
9 + 3y = -9 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
9 + 3y + -9y = -9 + 9y + -9y

Combine like terms: 3y + -9y = -6y
9 + -6y = -9 + 9y + -9y

Combine like terms: 9y + -9y = 0
9 + -6y = -9 + 0
9 + -6y = -9

Add '-9' to each side of the equation.
9 + -9 + -6y = -9 + -9

Combine like terms: 9 + -9 = 0
0 + -6y = -9 + -9
-6y = -9 + -9

Combine like terms: -9 + -9 = -18
-6y = -18

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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