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

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


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

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

Reorder the terms:
10 + 2y = 3(-5 + 4y)
10 + 2y = (-5 * 3 + 4y * 3)
10 + 2y = (-15 + 12y)

Solving
10 + 2y = -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 + 2y + -12y = -15 + 12y + -12y

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

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

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

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

Combine like terms: -15 + -10 = -25
-10y = -25

Divide each side by '-10'.
y = 2.5

Simplifying
y = 2.5

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