3+4(5y-1)+13=[-10]-2y

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Solution for 3+4(5y-1)+13=[-10]-2y equation: 


Simplifying
3 + 4(5y + -1) + 13 = [-10] + -2y

Reorder the terms:
3 + 4(-1 + 5y) + 13 = [-10] + -2y
3 + (-1 * 4 + 5y * 4) + 13 = [-10] + -2y
3 + (-4 + 20y) + 13 = [-10] + -2y

Reorder the terms:
3 + -4 + 13 + 20y = [-10] + -2y

Combine like terms: 3 + -4 = -1
-1 + 13 + 20y = [-10] + -2y

Combine like terms: -1 + 13 = 12
12 + 20y = [-10] + -2y
12 + 20y = -10 + -2y

Solving
12 + 20y = -10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
12 + 20y + 2y = -10 + -2y + 2y

Combine like terms: 20y + 2y = 22y
12 + 22y = -10 + -2y + 2y

Combine like terms: -2y + 2y = 0
12 + 22y = -10 + 0
12 + 22y = -10

Add '-12' to each side of the equation.
12 + -12 + 22y = -10 + -12

Combine like terms: 12 + -12 = 0
0 + 22y = -10 + -12
22y = -10 + -12

Combine like terms: -10 + -12 = -22
22y = -22

Divide each side by '22'.
y = -1

Simplifying
y = -1

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