5+(6y-23)=5(2y+8)-10

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Solution for 5+(6y-23)=5(2y+8)-10 equation:


Simplifying
5 + (6y + -23) = 5(2y + 8) + -10

Reorder the terms:
5 + (-23 + 6y) = 5(2y + 8) + -10

Remove parenthesis around (-23 + 6y)
5 + -23 + 6y = 5(2y + 8) + -10

Combine like terms: 5 + -23 = -18
-18 + 6y = 5(2y + 8) + -10

Reorder the terms:
-18 + 6y = 5(8 + 2y) + -10
-18 + 6y = (8 * 5 + 2y * 5) + -10
-18 + 6y = (40 + 10y) + -10

Reorder the terms:
-18 + 6y = 40 + -10 + 10y

Combine like terms: 40 + -10 = 30
-18 + 6y = 30 + 10y

Solving
-18 + 6y = 30 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-18 + 6y + -10y = 30 + 10y + -10y

Combine like terms: 6y + -10y = -4y
-18 + -4y = 30 + 10y + -10y

Combine like terms: 10y + -10y = 0
-18 + -4y = 30 + 0
-18 + -4y = 30

Add '18' to each side of the equation.
-18 + 18 + -4y = 30 + 18

Combine like terms: -18 + 18 = 0
0 + -4y = 30 + 18
-4y = 30 + 18

Combine like terms: 30 + 18 = 48
-4y = 48

Divide each side by '-4'.
y = -12

Simplifying
y = -12

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