3(5y+6)-y=15

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Solution for 3(5y+6)-y=15 equation:


Simplifying
3(5y + 6) + -1y = 15

Reorder the terms:
3(6 + 5y) + -1y = 15
(6 * 3 + 5y * 3) + -1y = 15
(18 + 15y) + -1y = 15

Combine like terms: 15y + -1y = 14y
18 + 14y = 15

Solving
18 + 14y = 15

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 14y = 15 + -18

Combine like terms: 18 + -18 = 0
0 + 14y = 15 + -18
14y = 15 + -18

Combine like terms: 15 + -18 = -3
14y = -3

Divide each side by '14'.
y = -0.2142857143

Simplifying
y = -0.2142857143

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