10-3(y-2)+12y=45

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Solution for 10-3(y-2)+12y=45 equation: 


Simplifying
10 + -3(y + -2) + 12y = 45

Reorder the terms:
10 + -3(-2 + y) + 12y = 45
10 + (-2 * -3 + y * -3) + 12y = 45
10 + (6 + -3y) + 12y = 45

Combine like terms: 10 + 6 = 16
16 + -3y + 12y = 45

Combine like terms: -3y + 12y = 9y
16 + 9y = 45

Solving
16 + 9y = 45

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + 9y = 45 + -16

Combine like terms: 16 + -16 = 0
0 + 9y = 45 + -16
9y = 45 + -16

Combine like terms: 45 + -16 = 29
9y = 29

Divide each side by '9'.
y = 3.222222222

Simplifying
y = 3.222222222

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