2(y+8)-13=5y+21

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Solution for 2(y+8)-13=5y+21 equation:


Simplifying
2(y + 8) + -13 = 5y + 21

Reorder the terms:
2(8 + y) + -13 = 5y + 21
(8 * 2 + y * 2) + -13 = 5y + 21
(16 + 2y) + -13 = 5y + 21

Reorder the terms:
16 + -13 + 2y = 5y + 21

Combine like terms: 16 + -13 = 3
3 + 2y = 5y + 21

Reorder the terms:
3 + 2y = 21 + 5y

Solving
3 + 2y = 21 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
3 + 2y + -5y = 21 + 5y + -5y

Combine like terms: 2y + -5y = -3y
3 + -3y = 21 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + -3y = 21 + 0
3 + -3y = 21

Add '-3' to each side of the equation.
3 + -3 + -3y = 21 + -3

Combine like terms: 3 + -3 = 0
0 + -3y = 21 + -3
-3y = 21 + -3

Combine like terms: 21 + -3 = 18
-3y = 18

Divide each side by '-3'.
y = -6

Simplifying
y = -6

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