3(5y+2)-y=2(2x-1)

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Solution for 3(5y+2)-y=2(2x-1) equation:


Simplifying
3(5y + 2) + -1y = 2(2x + -1)

Reorder the terms:
3(2 + 5y) + -1y = 2(2x + -1)
(2 * 3 + 5y * 3) + -1y = 2(2x + -1)
(6 + 15y) + -1y = 2(2x + -1)

Combine like terms: 15y + -1y = 14y
6 + 14y = 2(2x + -1)

Reorder the terms:
6 + 14y = 2(-1 + 2x)
6 + 14y = (-1 * 2 + 2x * 2)
6 + 14y = (-2 + 4x)

Solving
6 + 14y = -2 + 4x

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 14y = -2 + -6 + 4x

Combine like terms: 6 + -6 = 0
0 + 14y = -2 + -6 + 4x
14y = -2 + -6 + 4x

Combine like terms: -2 + -6 = -8
14y = -8 + 4x

Divide each side by '14'.
y = -0.5714285714 + 0.2857142857x

Simplifying
y = -0.5714285714 + 0.2857142857x

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