3(y-1)+9=-6x+45

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Solution for 3(y-1)+9=-6x+45 equation:


Simplifying
3(y + -1) + 9 = -6x + 45

Reorder the terms:
3(-1 + y) + 9 = -6x + 45
(-1 * 3 + y * 3) + 9 = -6x + 45
(-3 + 3y) + 9 = -6x + 45

Reorder the terms:
-3 + 9 + 3y = -6x + 45

Combine like terms: -3 + 9 = 6
6 + 3y = -6x + 45

Reorder the terms:
6 + 3y = 45 + -6x

Solving
6 + 3y = 45 + -6x

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 3y = 45 + -6 + -6x

Combine like terms: 6 + -6 = 0
0 + 3y = 45 + -6 + -6x
3y = 45 + -6 + -6x

Combine like terms: 45 + -6 = 39
3y = 39 + -6x

Divide each side by '3'.
y = 13 + -2x

Simplifying
y = 13 + -2x

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