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

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


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

Reorder the terms:
y = 3(-1 + 2y) + -2(5 + 3x)
y = (-1 * 3 + 2y * 3) + -2(5 + 3x)
y = (-3 + 6y) + -2(5 + 3x)
y = -3 + 6y + (5 * -2 + 3x * -2)
y = -3 + 6y + (-10 + -6x)

Reorder the terms:
y = -3 + -10 + -6x + 6y

Combine like terms: -3 + -10 = -13
y = -13 + -6x + 6y

Solving
y = -13 + -6x + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
y + -6y = -13 + -6x + 6y + -6y

Combine like terms: y + -6y = -5y
-5y = -13 + -6x + 6y + -6y

Combine like terms: 6y + -6y = 0
-5y = -13 + -6x + 0
-5y = -13 + -6x

Divide each side by '-5'.
y = 2.6 + 1.2x

Simplifying
y = 2.6 + 1.2x

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