25-(3y+5)=2(y+8)+y

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Solution for 25-(3y+5)=2(y+8)+y equation:


Simplifying
25 + -1(3y + 5) = 2(y + 8) + y

Reorder the terms:
25 + -1(5 + 3y) = 2(y + 8) + y
25 + (5 * -1 + 3y * -1) = 2(y + 8) + y
25 + (-5 + -3y) = 2(y + 8) + y

Combine like terms: 25 + -5 = 20
20 + -3y = 2(y + 8) + y

Reorder the terms:
20 + -3y = 2(8 + y) + y
20 + -3y = (8 * 2 + y * 2) + y
20 + -3y = (16 + 2y) + y

Combine like terms: 2y + y = 3y
20 + -3y = 16 + 3y

Solving
20 + -3y = 16 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
20 + -3y + -3y = 16 + 3y + -3y

Combine like terms: -3y + -3y = -6y
20 + -6y = 16 + 3y + -3y

Combine like terms: 3y + -3y = 0
20 + -6y = 16 + 0
20 + -6y = 16

Add '-20' to each side of the equation.
20 + -20 + -6y = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -6y = 16 + -20
-6y = 16 + -20

Combine like terms: 16 + -20 = -4
-6y = -4

Divide each side by '-6'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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