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

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


Simplifying
3(5y + 3) + -1y = -1(y + -3)

Reorder the terms:
3(3 + 5y) + -1y = -1(y + -3)
(3 * 3 + 5y * 3) + -1y = -1(y + -3)
(9 + 15y) + -1y = -1(y + -3)

Combine like terms: 15y + -1y = 14y
9 + 14y = -1(y + -3)

Reorder the terms:
9 + 14y = -1(-3 + y)
9 + 14y = (-3 * -1 + y * -1)
9 + 14y = (3 + -1y)

Solving
9 + 14y = 3 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
9 + 14y + y = 3 + -1y + y

Combine like terms: 14y + y = 15y
9 + 15y = 3 + -1y + y

Combine like terms: -1y + y = 0
9 + 15y = 3 + 0
9 + 15y = 3

Add '-9' to each side of the equation.
9 + -9 + 15y = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 15y = 3 + -9
15y = 3 + -9

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

Divide each side by '15'.
y = -0.4

Simplifying
y = -0.4

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