3(5y-4)+15=5(y-3)-(3y+2)

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Solution for 3(5y-4)+15=5(y-3)-(3y+2) equation:


Simplifying
3(5y + -4) + 15 = 5(y + -3) + -1(3y + 2)

Reorder the terms:
3(-4 + 5y) + 15 = 5(y + -3) + -1(3y + 2)
(-4 * 3 + 5y * 3) + 15 = 5(y + -3) + -1(3y + 2)
(-12 + 15y) + 15 = 5(y + -3) + -1(3y + 2)

Reorder the terms:
-12 + 15 + 15y = 5(y + -3) + -1(3y + 2)

Combine like terms: -12 + 15 = 3
3 + 15y = 5(y + -3) + -1(3y + 2)

Reorder the terms:
3 + 15y = 5(-3 + y) + -1(3y + 2)
3 + 15y = (-3 * 5 + y * 5) + -1(3y + 2)
3 + 15y = (-15 + 5y) + -1(3y + 2)

Reorder the terms:
3 + 15y = -15 + 5y + -1(2 + 3y)
3 + 15y = -15 + 5y + (2 * -1 + 3y * -1)
3 + 15y = -15 + 5y + (-2 + -3y)

Reorder the terms:
3 + 15y = -15 + -2 + 5y + -3y

Combine like terms: -15 + -2 = -17
3 + 15y = -17 + 5y + -3y

Combine like terms: 5y + -3y = 2y
3 + 15y = -17 + 2y

Solving
3 + 15y = -17 + 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.
3 + 15y + -2y = -17 + 2y + -2y

Combine like terms: 15y + -2y = 13y
3 + 13y = -17 + 2y + -2y

Combine like terms: 2y + -2y = 0
3 + 13y = -17 + 0
3 + 13y = -17

Add '-3' to each side of the equation.
3 + -3 + 13y = -17 + -3

Combine like terms: 3 + -3 = 0
0 + 13y = -17 + -3
13y = -17 + -3

Combine like terms: -17 + -3 = -20
13y = -20

Divide each side by '13'.
y = -1.538461538

Simplifying
y = -1.538461538

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