7(1-y)=-3(y-2)

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Solution for 7(1-y)=-3(y-2) equation:


Simplifying
7(1 + -1y) = -3(y + -2)
(1 * 7 + -1y * 7) = -3(y + -2)
(7 + -7y) = -3(y + -2)

Reorder the terms:
7 + -7y = -3(-2 + y)
7 + -7y = (-2 * -3 + y * -3)
7 + -7y = (6 + -3y)

Solving
7 + -7y = 6 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
7 + -7y + 3y = 6 + -3y + 3y

Combine like terms: -7y + 3y = -4y
7 + -4y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
7 + -4y = 6 + 0
7 + -4y = 6

Add '-7' to each side of the equation.
7 + -7 + -4y = 6 + -7

Combine like terms: 7 + -7 = 0
0 + -4y = 6 + -7
-4y = 6 + -7

Combine like terms: 6 + -7 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25

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