8y-3(y-7)=4(y-1)-3

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Solution for 8y-3(y-7)=4(y-1)-3 equation: 


Simplifying
8y + -3(y + -7) = 4(y + -1) + -3

Reorder the terms:
8y + -3(-7 + y) = 4(y + -1) + -3
8y + (-7 * -3 + y * -3) = 4(y + -1) + -3
8y + (21 + -3y) = 4(y + -1) + -3

Reorder the terms:
21 + 8y + -3y = 4(y + -1) + -3

Combine like terms: 8y + -3y = 5y
21 + 5y = 4(y + -1) + -3

Reorder the terms:
21 + 5y = 4(-1 + y) + -3
21 + 5y = (-1 * 4 + y * 4) + -3
21 + 5y = (-4 + 4y) + -3

Reorder the terms:
21 + 5y = -4 + -3 + 4y

Combine like terms: -4 + -3 = -7
21 + 5y = -7 + 4y

Solving
21 + 5y = -7 + 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.
21 + 5y + -4y = -7 + 4y + -4y

Combine like terms: 5y + -4y = 1y
21 + 1y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
21 + 1y = -7 + 0
21 + 1y = -7

Add '-21' to each side of the equation.
21 + -21 + 1y = -7 + -21

Combine like terms: 21 + -21 = 0
0 + 1y = -7 + -21
1y = -7 + -21

Combine like terms: -7 + -21 = -28
1y = -28

Divide each side by '1'.
y = -28

Simplifying
y = -28

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