8y-2(5+2y)=7y+16

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Solution for 8y-2(5+2y)=7y+16 equation:


Simplifying
8y + -2(5 + 2y) = 7y + 16
8y + (5 * -2 + 2y * -2) = 7y + 16
8y + (-10 + -4y) = 7y + 16

Reorder the terms:
-10 + 8y + -4y = 7y + 16

Combine like terms: 8y + -4y = 4y
-10 + 4y = 7y + 16

Reorder the terms:
-10 + 4y = 16 + 7y

Solving
-10 + 4y = 16 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-10 + 4y + -7y = 16 + 7y + -7y

Combine like terms: 4y + -7y = -3y
-10 + -3y = 16 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -3y = 16 + 0
-10 + -3y = 16

Add '10' to each side of the equation.
-10 + 10 + -3y = 16 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = 16 + 10
-3y = 16 + 10

Combine like terms: 16 + 10 = 26
-3y = 26

Divide each side by '-3'.
y = -8.666666667

Simplifying
y = -8.666666667

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