3-4y=5(y-3)

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


Simplifying
3 + -4y = 5(y + -3)

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

Solving
3 + -4y = -15 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
3 + -4y + -5y = -15 + 5y + -5y

Combine like terms: -4y + -5y = -9y
3 + -9y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + -9y = -15 + 0
3 + -9y = -15

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

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

Combine like terms: -15 + -3 = -18
-9y = -18

Divide each side by '-9'.
y = 2

Simplifying
y = 2

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