13=-2[y-4]+3y

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Solution for 13=-2[y-4]+3y equation:


Simplifying
13 = -2[y + -4] + 3y

Reorder the terms:
13 = -2[-4 + y] + 3y
13 = [-4 * -2 + y * -2] + 3y
13 = [8 + -2y] + 3y

Combine like terms: -2y + 3y = 1y
13 = 8 + 1y

Solving
13 = 8 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
13 + -1y = 8 + 1y + -1y

Combine like terms: 1y + -1y = 0
13 + -1y = 8 + 0
13 + -1y = 8

Add '-13' to each side of the equation.
13 + -13 + -1y = 8 + -13

Combine like terms: 13 + -13 = 0
0 + -1y = 8 + -13
-1y = 8 + -13

Combine like terms: 8 + -13 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5

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