6y+5(y-2)=24-5y

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Solution for 6y+5(y-2)=24-5y equation:


Simplifying
6y + 5(y + -2) = 24 + -5y

Reorder the terms:
6y + 5(-2 + y) = 24 + -5y
6y + (-2 * 5 + y * 5) = 24 + -5y
6y + (-10 + 5y) = 24 + -5y

Reorder the terms:
-10 + 6y + 5y = 24 + -5y

Combine like terms: 6y + 5y = 11y
-10 + 11y = 24 + -5y

Solving
-10 + 11y = 24 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-10 + 11y + 5y = 24 + -5y + 5y

Combine like terms: 11y + 5y = 16y
-10 + 16y = 24 + -5y + 5y

Combine like terms: -5y + 5y = 0
-10 + 16y = 24 + 0
-10 + 16y = 24

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

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

Combine like terms: 24 + 10 = 34
16y = 34

Divide each side by '16'.
y = 2.125

Simplifying
y = 2.125

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