3(y-10)+1=3.27(y-8)

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Solution for 3(y-10)+1=3.27(y-8) equation: 


Simplifying
3(y + -10) + 1 = 3.27(y + -8)

Reorder the terms:
3(-10 + y) + 1 = 3.27(y + -8)
(-10 * 3 + y * 3) + 1 = 3.27(y + -8)
(-30 + 3y) + 1 = 3.27(y + -8)

Reorder the terms:
-30 + 1 + 3y = 3.27(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = 3.27(y + -8)

Reorder the terms:
-29 + 3y = 3.27(-8 + y)
-29 + 3y = (-8 * 3.27 + y * 3.27)
-29 + 3y = (-26.16 + 3.27y)

Solving
-29 + 3y = -26.16 + 3.27y

Solving for variable 'y'.

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

Add '-3.27y' to each side of the equation.
-29 + 3y + -3.27y = -26.16 + 3.27y + -3.27y

Combine like terms: 3y + -3.27y = -0.27y
-29 + -0.27y = -26.16 + 3.27y + -3.27y

Combine like terms: 3.27y + -3.27y = 0.00
-29 + -0.27y = -26.16 + 0.00
-29 + -0.27y = -26.16

Add '29' to each side of the equation.
-29 + 29 + -0.27y = -26.16 + 29

Combine like terms: -29 + 29 = 0
0 + -0.27y = -26.16 + 29
-0.27y = -26.16 + 29

Combine like terms: -26.16 + 29 = 2.84
-0.27y = 2.84

Divide each side by '-0.27'.
y = -10.51851852

Simplifying
y = -10.51851852

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