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

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

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

Combine like terms: -4y + 4y = 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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