2(2y+4)+13=4(5y+5)+9

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Solution for 2(2y+4)+13=4(5y+5)+9 equation: 


Simplifying
2(2y + 4) + 13 = 4(5y + 5) + 9

Reorder the terms:
2(4 + 2y) + 13 = 4(5y + 5) + 9
(4 * 2 + 2y * 2) + 13 = 4(5y + 5) + 9
(8 + 4y) + 13 = 4(5y + 5) + 9

Reorder the terms:
8 + 13 + 4y = 4(5y + 5) + 9

Combine like terms: 8 + 13 = 21
21 + 4y = 4(5y + 5) + 9

Reorder the terms:
21 + 4y = 4(5 + 5y) + 9
21 + 4y = (5 * 4 + 5y * 4) + 9
21 + 4y = (20 + 20y) + 9

Reorder the terms:
21 + 4y = 20 + 9 + 20y

Combine like terms: 20 + 9 = 29
21 + 4y = 29 + 20y

Solving
21 + 4y = 29 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
21 + 4y + -20y = 29 + 20y + -20y

Combine like terms: 4y + -20y = -16y
21 + -16y = 29 + 20y + -20y

Combine like terms: 20y + -20y = 0
21 + -16y = 29 + 0
21 + -16y = 29

Add '-21' to each side of the equation.
21 + -21 + -16y = 29 + -21

Combine like terms: 21 + -21 = 0
0 + -16y = 29 + -21
-16y = 29 + -21

Combine like terms: 29 + -21 = 8
-16y = 8

Divide each side by '-16'.
y = -0.5

Simplifying
y = -0.5

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