3(y-10)+1=3(x+9)-10

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Solution for 3(y-10)+1=3(x+9)-10 equation: 


Simplifying
3(y + -10) + 1 = 3(x + 9) + -10

Reorder the terms:
3(-10 + y) + 1 = 3(x + 9) + -10
(-10 * 3 + y * 3) + 1 = 3(x + 9) + -10
(-30 + 3y) + 1 = 3(x + 9) + -10

Reorder the terms:
-30 + 1 + 3y = 3(x + 9) + -10

Combine like terms: -30 + 1 = -29
-29 + 3y = 3(x + 9) + -10

Reorder the terms:
-29 + 3y = 3(9 + x) + -10
-29 + 3y = (9 * 3 + x * 3) + -10
-29 + 3y = (27 + 3x) + -10

Reorder the terms:
-29 + 3y = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
-29 + 3y = 17 + 3x

Solving
-29 + 3y = 17 + 3x

Solving for variable 'y'.

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

Add '29' to each side of the equation.
-29 + 29 + 3y = 17 + 29 + 3x

Combine like terms: -29 + 29 = 0
0 + 3y = 17 + 29 + 3x
3y = 17 + 29 + 3x

Combine like terms: 17 + 29 = 46
3y = 46 + 3x

Divide each side by '3'.
y = 15.33333333 + x

Simplifying
y = 15.33333333 + x

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