2(y+1)=3(2y-5)

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Solution for 2(y+1)=3(2y-5) equation: 


Simplifying
2(y + 1) = 3(2y + -5)

Reorder the terms:
2(1 + y) = 3(2y + -5)
(1 * 2 + y * 2) = 3(2y + -5)
(2 + 2y) = 3(2y + -5)

Reorder the terms:
2 + 2y = 3(-5 + 2y)
2 + 2y = (-5 * 3 + 2y * 3)
2 + 2y = (-15 + 6y)

Solving
2 + 2y = -15 + 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.
2 + 2y + -6y = -15 + 6y + -6y

Combine like terms: 2y + -6y = -4y
2 + -4y = -15 + 6y + -6y

Combine like terms: 6y + -6y = 0
2 + -4y = -15 + 0
2 + -4y = -15

Add '-2' to each side of the equation.
2 + -2 + -4y = -15 + -2

Combine like terms: 2 + -2 = 0
0 + -4y = -15 + -2
-4y = -15 + -2

Combine like terms: -15 + -2 = -17
-4y = -17

Divide each side by '-4'.
y = 4.25

Simplifying
y = 4.25

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