3(-2y+6)=4y-7

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Solution for 3(-2y+6)=4y-7 equation:


Simplifying
3(-2y + 6) = 4y + -7

Reorder the terms:
3(6 + -2y) = 4y + -7
(6 * 3 + -2y * 3) = 4y + -7
(18 + -6y) = 4y + -7

Reorder the terms:
18 + -6y = -7 + 4y

Solving
18 + -6y = -7 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
18 + -6y + -4y = -7 + 4y + -4y

Combine like terms: -6y + -4y = -10y
18 + -10y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
18 + -10y = -7 + 0
18 + -10y = -7

Add '-18' to each side of the equation.
18 + -18 + -10y = -7 + -18

Combine like terms: 18 + -18 = 0
0 + -10y = -7 + -18
-10y = -7 + -18

Combine like terms: -7 + -18 = -25
-10y = -25

Divide each side by '-10'.
y = 2.5

Simplifying
y = 2.5

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