2y-3(y-1)=15-4y

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Solution for 2y-3(y-1)=15-4y equation:


Simplifying
2y + -3(y + -1) = 15 + -4y

Reorder the terms:
2y + -3(-1 + y) = 15 + -4y
2y + (-1 * -3 + y * -3) = 15 + -4y
2y + (3 + -3y) = 15 + -4y

Reorder the terms:
3 + 2y + -3y = 15 + -4y

Combine like terms: 2y + -3y = -1y
3 + -1y = 15 + -4y

Solving
3 + -1y = 15 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
3 + -1y + 4y = 15 + -4y + 4y

Combine like terms: -1y + 4y = 3y
3 + 3y = 15 + -4y + 4y

Combine like terms: -4y + 4y = 0
3 + 3y = 15 + 0
3 + 3y = 15

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

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

Combine like terms: 15 + -3 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

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