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

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


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

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

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

Reorder the terms:
-24 + 8 + 6y + 4y = 24

Combine like terms: -24 + 8 = -16
-16 + 6y + 4y = 24

Combine like terms: 6y + 4y = 10y
-16 + 10y = 24

Solving
-16 + 10y = 24

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + 10y = 24 + 16

Combine like terms: -16 + 16 = 0
0 + 10y = 24 + 16
10y = 24 + 16

Combine like terms: 24 + 16 = 40
10y = 40

Divide each side by '10'.
y = 4

Simplifying
y = 4

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