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

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


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

Reorder the terms:
5(2 + y) = 3(4y + 5)
(2 * 5 + y * 5) = 3(4y + 5)
(10 + 5y) = 3(4y + 5)

Reorder the terms:
10 + 5y = 3(5 + 4y)
10 + 5y = (5 * 3 + 4y * 3)
10 + 5y = (15 + 12y)

Solving
10 + 5y = 15 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
10 + 5y + -12y = 15 + 12y + -12y

Combine like terms: 5y + -12y = -7y
10 + -7y = 15 + 12y + -12y

Combine like terms: 12y + -12y = 0
10 + -7y = 15 + 0
10 + -7y = 15

Add '-10' to each side of the equation.
10 + -10 + -7y = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -7y = 15 + -10
-7y = 15 + -10

Combine like terms: 15 + -10 = 5
-7y = 5

Divide each side by '-7'.
y = -0.7142857143

Simplifying
y = -0.7142857143

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