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

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


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

Reorder the terms:
2(-3 + y) + -3(y + 1) = 4 + -4(y + -1)
(-3 * 2 + y * 2) + -3(y + 1) = 4 + -4(y + -1)
(-6 + 2y) + -3(y + 1) = 4 + -4(y + -1)

Reorder the terms:
-6 + 2y + -3(1 + y) = 4 + -4(y + -1)
-6 + 2y + (1 * -3 + y * -3) = 4 + -4(y + -1)
-6 + 2y + (-3 + -3y) = 4 + -4(y + -1)

Reorder the terms:
-6 + -3 + 2y + -3y = 4 + -4(y + -1)

Combine like terms: -6 + -3 = -9
-9 + 2y + -3y = 4 + -4(y + -1)

Combine like terms: 2y + -3y = -1y
-9 + -1y = 4 + -4(y + -1)

Reorder the terms:
-9 + -1y = 4 + -4(-1 + y)
-9 + -1y = 4 + (-1 * -4 + y * -4)
-9 + -1y = 4 + (4 + -4y)

Combine like terms: 4 + 4 = 8
-9 + -1y = 8 + -4y

Solving
-9 + -1y = 8 + -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.
-9 + -1y + 4y = 8 + -4y + 4y

Combine like terms: -1y + 4y = 3y
-9 + 3y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
-9 + 3y = 8 + 0
-9 + 3y = 8

Add '9' to each side of the equation.
-9 + 9 + 3y = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 3y = 8 + 9
3y = 8 + 9

Combine like terms: 8 + 9 = 17
3y = 17

Divide each side by '3'.
y = 5.666666667

Simplifying
y = 5.666666667

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