3-2(y-3)-4y=-7

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Solution for 3-2(y-3)-4y=-7 equation:


Simplifying
3 + -2(y + -3) + -4y = -7

Reorder the terms:
3 + -2(-3 + y) + -4y = -7
3 + (-3 * -2 + y * -2) + -4y = -7
3 + (6 + -2y) + -4y = -7

Combine like terms: 3 + 6 = 9
9 + -2y + -4y = -7

Combine like terms: -2y + -4y = -6y
9 + -6y = -7

Solving
9 + -6y = -7

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + -6y = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -6y = -7 + -9
-6y = -7 + -9

Combine like terms: -7 + -9 = -16
-6y = -16

Divide each side by '-6'.
y = 2.666666667

Simplifying
y = 2.666666667

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