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

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


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

Reorder the terms:
4(4 + y) + 3(y + -2) = 24
(4 * 4 + y * 4) + 3(y + -2) = 24
(16 + 4y) + 3(y + -2) = 24

Reorder the terms:
16 + 4y + 3(-2 + y) = 24
16 + 4y + (-2 * 3 + y * 3) = 24
16 + 4y + (-6 + 3y) = 24

Reorder the terms:
16 + -6 + 4y + 3y = 24

Combine like terms: 16 + -6 = 10
10 + 4y + 3y = 24

Combine like terms: 4y + 3y = 7y
10 + 7y = 24

Solving
10 + 7y = 24

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 7y = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = 24 + -10
7y = 24 + -10

Combine like terms: 24 + -10 = 14
7y = 14

Divide each side by '7'.
y = 2

Simplifying
y = 2

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