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

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Solution for 7y-(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
-4 + 9y = (3 * 3 + x * 3) + -1
-4 + 9y = (9 + 3x) + -1

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

Combine like terms: 9 + -1 = 8
-4 + 9y = 8 + 3x

Solving
-4 + 9y = 8 + 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 = 8 + 4 + 3x

Combine like terms: -4 + 4 = 0
0 + 9y = 8 + 4 + 3x
9y = 8 + 4 + 3x

Combine like terms: 8 + 4 = 12
9y = 12 + 3x

Divide each side by '9'.
y = 1.333333333 + 0.3333333333x

Simplifying
y = 1.333333333 + 0.3333333333x

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