6y+25-12y-16=3(2y+2)

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Solution for 6y+25-12y-16=3(2y+2) equation:


Simplifying
6y + 25 + -12y + -16 = 3(2y + 2)

Reorder the terms:
25 + -16 + 6y + -12y = 3(2y + 2)

Combine like terms: 25 + -16 = 9
9 + 6y + -12y = 3(2y + 2)

Combine like terms: 6y + -12y = -6y
9 + -6y = 3(2y + 2)

Reorder the terms:
9 + -6y = 3(2 + 2y)
9 + -6y = (2 * 3 + 2y * 3)
9 + -6y = (6 + 6y)

Solving
9 + -6y = 6 + 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.
9 + -6y + -6y = 6 + 6y + -6y

Combine like terms: -6y + -6y = -12y
9 + -12y = 6 + 6y + -6y

Combine like terms: 6y + -6y = 0
9 + -12y = 6 + 0
9 + -12y = 6

Add '-9' to each side of the equation.
9 + -9 + -12y = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -12y = 6 + -9
-12y = 6 + -9

Combine like terms: 6 + -9 = -3
-12y = -3

Divide each side by '-12'.
y = 0.25

Simplifying
y = 0.25

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