3(Y-10)+1=4(Y-8)

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Solution for 3(Y-10)+1=4(Y-8) equation: 


Simplifying
3(Y + -10) + 1 = 4(Y + -8)

Reorder the terms:
3(-10 + Y) + 1 = 4(Y + -8)
(-10 * 3 + Y * 3) + 1 = 4(Y + -8)
(-30 + 3Y) + 1 = 4(Y + -8)

Reorder the terms:
-30 + 1 + 3Y = 4(Y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3Y = 4(Y + -8)

Reorder the terms:
-29 + 3Y = 4(-8 + Y)
-29 + 3Y = (-8 * 4 + Y * 4)
-29 + 3Y = (-32 + 4Y)

Solving
-29 + 3Y = -32 + 4Y

Solving for variable 'Y'.

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

Add '-4Y' to each side of the equation.
-29 + 3Y + -4Y = -32 + 4Y + -4Y

Combine like terms: 3Y + -4Y = -1Y
-29 + -1Y = -32 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
-29 + -1Y = -32 + 0
-29 + -1Y = -32

Add '29' to each side of the equation.
-29 + 29 + -1Y = -32 + 29

Combine like terms: -29 + 29 = 0
0 + -1Y = -32 + 29
-1Y = -32 + 29

Combine like terms: -32 + 29 = -3
-1Y = -3

Divide each side by '-1'.
Y = 3

Simplifying
Y = 3

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