3(2y-3)+13=4(y-3)-(3y+2)

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Solution for 3(2y-3)+13=4(y-3)-(3y+2) equation:


Simplifying
3(2y + -3) + 13 = 4(y + -3) + -1(3y + 2)

Reorder the terms:
3(-3 + 2y) + 13 = 4(y + -3) + -1(3y + 2)
(-3 * 3 + 2y * 3) + 13 = 4(y + -3) + -1(3y + 2)
(-9 + 6y) + 13 = 4(y + -3) + -1(3y + 2)

Reorder the terms:
-9 + 13 + 6y = 4(y + -3) + -1(3y + 2)

Combine like terms: -9 + 13 = 4
4 + 6y = 4(y + -3) + -1(3y + 2)

Reorder the terms:
4 + 6y = 4(-3 + y) + -1(3y + 2)
4 + 6y = (-3 * 4 + y * 4) + -1(3y + 2)
4 + 6y = (-12 + 4y) + -1(3y + 2)

Reorder the terms:
4 + 6y = -12 + 4y + -1(2 + 3y)
4 + 6y = -12 + 4y + (2 * -1 + 3y * -1)
4 + 6y = -12 + 4y + (-2 + -3y)

Reorder the terms:
4 + 6y = -12 + -2 + 4y + -3y

Combine like terms: -12 + -2 = -14
4 + 6y = -14 + 4y + -3y

Combine like terms: 4y + -3y = 1y
4 + 6y = -14 + 1y

Solving
4 + 6y = -14 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
4 + 6y + -1y = -14 + 1y + -1y

Combine like terms: 6y + -1y = 5y
4 + 5y = -14 + 1y + -1y

Combine like terms: 1y + -1y = 0
4 + 5y = -14 + 0
4 + 5y = -14

Add '-4' to each side of the equation.
4 + -4 + 5y = -14 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = -14 + -4
5y = -14 + -4

Combine like terms: -14 + -4 = -18
5y = -18

Divide each side by '5'.
y = -3.6

Simplifying
y = -3.6

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