7y-1*(4-2y)=3*(x+3)*-1

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Solution for 7y-1*(4-2y)=3*(x+3)*-1 equation:


Simplifying
7y + -1(4 + -2y) = 3(x + 3) * -1
7y + (4 * -1 + -2y * -1) = 3(x + 3) * -1
7y + (-4 + 2y) = 3(x + 3) * -1

Reorder the terms:
-4 + 7y + 2y = 3(x + 3) * -1

Combine like terms: 7y + 2y = 9y
-4 + 9y = 3(x + 3) * -1

Reorder the terms:
-4 + 9y = 3(3 + x) * -1

Reorder the terms for easier multiplication:
-4 + 9y = 3 * -1(3 + x)

Multiply 3 * -1
-4 + 9y = -3(3 + x)
-4 + 9y = (3 * -3 + x * -3)
-4 + 9y = (-9 + -3x)

Solving
-4 + 9y = -9 + -3x

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 9y = -9 + 4 + -3x

Combine like terms: -4 + 4 = 0
0 + 9y = -9 + 4 + -3x
9y = -9 + 4 + -3x

Combine like terms: -9 + 4 = -5
9y = -5 + -3x

Divide each side by '9'.
y = -0.5555555556 + -0.3333333333x

Simplifying
y = -0.5555555556 + -0.3333333333x

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