2y+6=3(4y-5)

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Solution for 2y+6=3(4y-5) equation: 


Simplifying
2y + 6 = 3(4y + -5)

Reorder the terms:
6 + 2y = 3(4y + -5)

Reorder the terms:
6 + 2y = 3(-5 + 4y)
6 + 2y = (-5 * 3 + 4y * 3)
6 + 2y = (-15 + 12y)

Solving
6 + 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.
6 + 2y + -12y = -15 + 12y + -12y

Combine like terms: 2y + -12y = -10y
6 + -10y = -15 + 12y + -12y

Combine like terms: 12y + -12y = 0
6 + -10y = -15 + 0
6 + -10y = -15

Add '-6' to each side of the equation.
6 + -6 + -10y = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = -15 + -6
-10y = -15 + -6

Combine like terms: -15 + -6 = -21
-10y = -21

Divide each side by '-10'.
y = 2.1

Simplifying
y = 2.1

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