5(2y+7)=3(4y-5)

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Solution for 5(2y+7)=3(4y-5) equation:


Simplifying
5(2y + 7) = 3(4y + -5)

Reorder the terms:
5(7 + 2y) = 3(4y + -5)
(7 * 5 + 2y * 5) = 3(4y + -5)
(35 + 10y) = 3(4y + -5)

Reorder the terms:
35 + 10y = 3(-5 + 4y)
35 + 10y = (-5 * 3 + 4y * 3)
35 + 10y = (-15 + 12y)

Solving
35 + 10y = -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.
35 + 10y + -12y = -15 + 12y + -12y

Combine like terms: 10y + -12y = -2y
35 + -2y = -15 + 12y + -12y

Combine like terms: 12y + -12y = 0
35 + -2y = -15 + 0
35 + -2y = -15

Add '-35' to each side of the equation.
35 + -35 + -2y = -15 + -35

Combine like terms: 35 + -35 = 0
0 + -2y = -15 + -35
-2y = -15 + -35

Combine like terms: -15 + -35 = -50
-2y = -50

Divide each side by '-2'.
y = 25

Simplifying
y = 25

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