4(2y+5)=3(2y+13)

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Solution for 4(2y+5)=3(2y+13) equation: 


Simplifying
4(2y + 5) = 3(2y + 13)

Reorder the terms:
4(5 + 2y) = 3(2y + 13)
(5 * 4 + 2y * 4) = 3(2y + 13)
(20 + 8y) = 3(2y + 13)

Reorder the terms:
20 + 8y = 3(13 + 2y)
20 + 8y = (13 * 3 + 2y * 3)
20 + 8y = (39 + 6y)

Solving
20 + 8y = 39 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
20 + 8y + -6y = 39 + 6y + -6y

Combine like terms: 8y + -6y = 2y
20 + 2y = 39 + 6y + -6y

Combine like terms: 6y + -6y = 0
20 + 2y = 39 + 0
20 + 2y = 39

Add '-20' to each side of the equation.
20 + -20 + 2y = 39 + -20

Combine like terms: 20 + -20 = 0
0 + 2y = 39 + -20
2y = 39 + -20

Combine like terms: 39 + -20 = 19
2y = 19

Divide each side by '2'.
y = 9.5

Simplifying
y = 9.5

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