3(y-3)-2(y+4)=6y-24

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Solution for 3(y-3)-2(y+4)=6y-24 equation:


Simplifying
3(y + -3) + -2(y + 4) = 6y + -24

Reorder the terms:
3(-3 + y) + -2(y + 4) = 6y + -24
(-3 * 3 + y * 3) + -2(y + 4) = 6y + -24
(-9 + 3y) + -2(y + 4) = 6y + -24

Reorder the terms:
-9 + 3y + -2(4 + y) = 6y + -24
-9 + 3y + (4 * -2 + y * -2) = 6y + -24
-9 + 3y + (-8 + -2y) = 6y + -24

Reorder the terms:
-9 + -8 + 3y + -2y = 6y + -24

Combine like terms: -9 + -8 = -17
-17 + 3y + -2y = 6y + -24

Combine like terms: 3y + -2y = 1y
-17 + 1y = 6y + -24

Reorder the terms:
-17 + 1y = -24 + 6y

Solving
-17 + 1y = -24 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-17 + 1y + -6y = -24 + 6y + -6y

Combine like terms: 1y + -6y = -5y
-17 + -5y = -24 + 6y + -6y

Combine like terms: 6y + -6y = 0
-17 + -5y = -24 + 0
-17 + -5y = -24

Add '17' to each side of the equation.
-17 + 17 + -5y = -24 + 17

Combine like terms: -17 + 17 = 0
0 + -5y = -24 + 17
-5y = -24 + 17

Combine like terms: -24 + 17 = -7
-5y = -7

Divide each side by '-5'.
y = 1.4

Simplifying
y = 1.4

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