4(y-8)+2y+5=y+9

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Solution for 4(y-8)+2y+5=y+9 equation:


Simplifying
4(y + -8) + 2y + 5 = y + 9

Reorder the terms:
4(-8 + y) + 2y + 5 = y + 9
(-8 * 4 + y * 4) + 2y + 5 = y + 9
(-32 + 4y) + 2y + 5 = y + 9

Reorder the terms:
-32 + 5 + 4y + 2y = y + 9

Combine like terms: -32 + 5 = -27
-27 + 4y + 2y = y + 9

Combine like terms: 4y + 2y = 6y
-27 + 6y = y + 9

Reorder the terms:
-27 + 6y = 9 + y

Solving
-27 + 6y = 9 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-27 + 6y + -1y = 9 + y + -1y

Combine like terms: 6y + -1y = 5y
-27 + 5y = 9 + y + -1y

Combine like terms: y + -1y = 0
-27 + 5y = 9 + 0
-27 + 5y = 9

Add '27' to each side of the equation.
-27 + 27 + 5y = 9 + 27

Combine like terms: -27 + 27 = 0
0 + 5y = 9 + 27
5y = 9 + 27

Combine like terms: 9 + 27 = 36
5y = 36

Divide each side by '5'.
y = 7.2

Simplifying
y = 7.2

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