5(y+2)=13+4(2y-1)

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Solution for 5(y+2)=13+4(2y-1) equation:


Simplifying
5(y + 2) = 13 + 4(2y + -1)

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

Reorder the terms:
10 + 5y = 13 + 4(-1 + 2y)
10 + 5y = 13 + (-1 * 4 + 2y * 4)
10 + 5y = 13 + (-4 + 8y)

Combine like terms: 13 + -4 = 9
10 + 5y = 9 + 8y

Solving
10 + 5y = 9 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
10 + 5y + -8y = 9 + 8y + -8y

Combine like terms: 5y + -8y = -3y
10 + -3y = 9 + 8y + -8y

Combine like terms: 8y + -8y = 0
10 + -3y = 9 + 0
10 + -3y = 9

Add '-10' to each side of the equation.
10 + -10 + -3y = 9 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = 9 + -10
-3y = 9 + -10

Combine like terms: 9 + -10 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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