2(y-1)-4=6-3(y+1)

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Solution for 2(y-1)-4=6-3(y+1) equation:


Simplifying
2(y + -1) + -4 = 6 + -3(y + 1)

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

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

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

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

Combine like terms: 6 + -3 = 3
-6 + 2y = 3 + -3y

Solving
-6 + 2y = 3 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-6 + 2y + 3y = 3 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-6 + 5y = 3 + -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 5y = 3 + 0
-6 + 5y = 3

Add '6' to each side of the equation.
-6 + 6 + 5y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 3 + 6
5y = 3 + 6

Combine like terms: 3 + 6 = 9
5y = 9

Divide each side by '5'.
y = 1.8

Simplifying
y = 1.8

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