37-8(y-1)=1-4(1-y)

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Solution for 37-8(y-1)=1-4(1-y) equation:


Simplifying
37 + -8(y + -1) = 1 + -4(1 + -1y)

Reorder the terms:
37 + -8(-1 + y) = 1 + -4(1 + -1y)
37 + (-1 * -8 + y * -8) = 1 + -4(1 + -1y)
37 + (8 + -8y) = 1 + -4(1 + -1y)

Combine like terms: 37 + 8 = 45
45 + -8y = 1 + -4(1 + -1y)
45 + -8y = 1 + (1 * -4 + -1y * -4)
45 + -8y = 1 + (-4 + 4y)

Combine like terms: 1 + -4 = -3
45 + -8y = -3 + 4y

Solving
45 + -8y = -3 + 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.
45 + -8y + -4y = -3 + 4y + -4y

Combine like terms: -8y + -4y = -12y
45 + -12y = -3 + 4y + -4y

Combine like terms: 4y + -4y = 0
45 + -12y = -3 + 0
45 + -12y = -3

Add '-45' to each side of the equation.
45 + -45 + -12y = -3 + -45

Combine like terms: 45 + -45 = 0
0 + -12y = -3 + -45
-12y = -3 + -45

Combine like terms: -3 + -45 = -48
-12y = -48

Divide each side by '-12'.
y = 4

Simplifying
y = 4

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