2(y+5)=8y+28

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Solution for 2(y+5)=8y+28 equation:


Simplifying
2(y + 5) = 8y + 28

Reorder the terms:
2(5 + y) = 8y + 28
(5 * 2 + y * 2) = 8y + 28
(10 + 2y) = 8y + 28

Reorder the terms:
10 + 2y = 28 + 8y

Solving
10 + 2y = 28 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
10 + 2y + -8y = 28 + 8y + -8y

Combine like terms: 2y + -8y = -6y
10 + -6y = 28 + 8y + -8y

Combine like terms: 8y + -8y = 0
10 + -6y = 28 + 0
10 + -6y = 28

Add '-10' to each side of the equation.
10 + -10 + -6y = 28 + -10

Combine like terms: 10 + -10 = 0
0 + -6y = 28 + -10
-6y = 28 + -10

Combine like terms: 28 + -10 = 18
-6y = 18

Divide each side by '-6'.
y = -3

Simplifying
y = -3

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