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

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


Simplifying
15 + -1(3y + 2) = 2(y + 3)

Reorder the terms:
15 + -1(2 + 3y) = 2(y + 3)
15 + (2 * -1 + 3y * -1) = 2(y + 3)
15 + (-2 + -3y) = 2(y + 3)

Combine like terms: 15 + -2 = 13
13 + -3y = 2(y + 3)

Reorder the terms:
13 + -3y = 2(3 + y)
13 + -3y = (3 * 2 + y * 2)
13 + -3y = (6 + 2y)

Solving
13 + -3y = 6 + 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 = 6 + 2y + -2y

Combine like terms: -3y + -2y = -5y
13 + -5y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
13 + -5y = 6 + 0
13 + -5y = 6

Add '-13' to each side of the equation.
13 + -13 + -5y = 6 + -13

Combine like terms: 13 + -13 = 0
0 + -5y = 6 + -13
-5y = 6 + -13

Combine like terms: 6 + -13 = -7
-5y = -7

Divide each side by '-5'.
y = 1.4

Simplifying
y = 1.4

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