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

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


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

Reorder the terms:
3(-1 + 2y) = 7(x + 2)
(-1 * 3 + 2y * 3) = 7(x + 2)
(-3 + 6y) = 7(x + 2)

Reorder the terms:
-3 + 6y = 7(2 + x)
-3 + 6y = (2 * 7 + x * 7)
-3 + 6y = (14 + 7x)

Solving
-3 + 6y = 14 + 7x

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 6y = 14 + 3 + 7x

Combine like terms: -3 + 3 = 0
0 + 6y = 14 + 3 + 7x
6y = 14 + 3 + 7x

Combine like terms: 14 + 3 = 17
6y = 17 + 7x

Divide each side by '6'.
y = 2.833333333 + 1.166666667x

Simplifying
y = 2.833333333 + 1.166666667x

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