3(y-10)+1=-33(y-8)

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Solution for 3(y-10)+1=-33(y-8) equation: 


Simplifying
3(y + -10) + 1 = -33(y + -8)

Reorder the terms:
3(-10 + y) + 1 = -33(y + -8)
(-10 * 3 + y * 3) + 1 = -33(y + -8)
(-30 + 3y) + 1 = -33(y + -8)

Reorder the terms:
-30 + 1 + 3y = -33(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = -33(y + -8)

Reorder the terms:
-29 + 3y = -33(-8 + y)
-29 + 3y = (-8 * -33 + y * -33)
-29 + 3y = (264 + -33y)

Solving
-29 + 3y = 264 + -33y

Solving for variable 'y'.

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

Add '33y' to each side of the equation.
-29 + 3y + 33y = 264 + -33y + 33y

Combine like terms: 3y + 33y = 36y
-29 + 36y = 264 + -33y + 33y

Combine like terms: -33y + 33y = 0
-29 + 36y = 264 + 0
-29 + 36y = 264

Add '29' to each side of the equation.
-29 + 29 + 36y = 264 + 29

Combine like terms: -29 + 29 = 0
0 + 36y = 264 + 29
36y = 264 + 29

Combine like terms: 264 + 29 = 293
36y = 293

Divide each side by '36'.
y = 8.138888889

Simplifying
y = 8.138888889

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