3(y-10)+1=7(y-8)

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Solution for 3(y-10)+1=7(y-8) equation: 


Simplifying
3(y + -10) + 1 = 7(y + -8)

Reorder the terms:
3(-10 + y) + 1 = 7(y + -8)
(-10 * 3 + y * 3) + 1 = 7(y + -8)
(-30 + 3y) + 1 = 7(y + -8)

Reorder the terms:
-30 + 1 + 3y = 7(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = 7(y + -8)

Reorder the terms:
-29 + 3y = 7(-8 + y)
-29 + 3y = (-8 * 7 + y * 7)
-29 + 3y = (-56 + 7y)

Solving
-29 + 3y = -56 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-29 + 3y + -7y = -56 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-29 + -4y = -56 + 7y + -7y

Combine like terms: 7y + -7y = 0
-29 + -4y = -56 + 0
-29 + -4y = -56

Add '29' to each side of the equation.
-29 + 29 + -4y = -56 + 29

Combine like terms: -29 + 29 = 0
0 + -4y = -56 + 29
-4y = -56 + 29

Combine like terms: -56 + 29 = -27
-4y = -27

Divide each side by '-4'.
y = 6.75

Simplifying
y = 6.75

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