3(4-5y)=4(8-2y)+1

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Solution for 3(4-5y)=4(8-2y)+1 equation: 


Simplifying
3(4 + -5y) = 4(8 + -2y) + 1
(4 * 3 + -5y * 3) = 4(8 + -2y) + 1
(12 + -15y) = 4(8 + -2y) + 1
12 + -15y = (8 * 4 + -2y * 4) + 1
12 + -15y = (32 + -8y) + 1

Reorder the terms:
12 + -15y = 32 + 1 + -8y

Combine like terms: 32 + 1 = 33
12 + -15y = 33 + -8y

Solving
12 + -15y = 33 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
12 + -15y + 8y = 33 + -8y + 8y

Combine like terms: -15y + 8y = -7y
12 + -7y = 33 + -8y + 8y

Combine like terms: -8y + 8y = 0
12 + -7y = 33 + 0
12 + -7y = 33

Add '-12' to each side of the equation.
12 + -12 + -7y = 33 + -12

Combine like terms: 12 + -12 = 0
0 + -7y = 33 + -12
-7y = 33 + -12

Combine like terms: 33 + -12 = 21
-7y = 21

Divide each side by '-7'.
y = -3

Simplifying
y = -3

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