2[3(y+1)-4]-[5(y-3)-5]=

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Solution for 2[3(y+1)-4]-[5(y-3)-5]= equation:


Simplifying
2[3(y + 1) + -4] + -1[5(y + -3) + -5] = 0

Reorder the terms:
2[3(1 + y) + -4] + -1[5(y + -3) + -5] = 0
2[(1 * 3 + y * 3) + -4] + -1[5(y + -3) + -5] = 0
2[(3 + 3y) + -4] + -1[5(y + -3) + -5] = 0

Reorder the terms:
2[3 + -4 + 3y] + -1[5(y + -3) + -5] = 0

Combine like terms: 3 + -4 = -1
2[-1 + 3y] + -1[5(y + -3) + -5] = 0
[-1 * 2 + 3y * 2] + -1[5(y + -3) + -5] = 0
[-2 + 6y] + -1[5(y + -3) + -5] = 0

Reorder the terms:
-2 + 6y + -1[5(-3 + y) + -5] = 0
-2 + 6y + -1[(-3 * 5 + y * 5) + -5] = 0
-2 + 6y + -1[(-15 + 5y) + -5] = 0

Reorder the terms:
-2 + 6y + -1[-15 + -5 + 5y] = 0

Combine like terms: -15 + -5 = -20
-2 + 6y + -1[-20 + 5y] = 0
-2 + 6y + [-20 * -1 + 5y * -1] = 0
-2 + 6y + [20 + -5y] = 0

Reorder the terms:
-2 + 20 + 6y + -5y = 0

Combine like terms: -2 + 20 = 18
18 + 6y + -5y = 0

Combine like terms: 6y + -5y = 1y
18 + 1y = 0

Solving
18 + 1y = 0

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 1y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 1y = 0 + -18
1y = 0 + -18

Combine like terms: 0 + -18 = -18
1y = -18

Divide each side by '1'.
y = -18

Simplifying
y = -18

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