20y-6(2+2y)=6(y-3)+25

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Solution for 20y-6(2+2y)=6(y-3)+25 equation:


Simplifying
20y + -6(2 + 2y) = 6(y + -3) + 25
20y + (2 * -6 + 2y * -6) = 6(y + -3) + 25
20y + (-12 + -12y) = 6(y + -3) + 25

Reorder the terms:
-12 + 20y + -12y = 6(y + -3) + 25

Combine like terms: 20y + -12y = 8y
-12 + 8y = 6(y + -3) + 25

Reorder the terms:
-12 + 8y = 6(-3 + y) + 25
-12 + 8y = (-3 * 6 + y * 6) + 25
-12 + 8y = (-18 + 6y) + 25

Reorder the terms:
-12 + 8y = -18 + 25 + 6y

Combine like terms: -18 + 25 = 7
-12 + 8y = 7 + 6y

Solving
-12 + 8y = 7 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-12 + 8y + -6y = 7 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-12 + 2y = 7 + 6y + -6y

Combine like terms: 6y + -6y = 0
-12 + 2y = 7 + 0
-12 + 2y = 7

Add '12' to each side of the equation.
-12 + 12 + 2y = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 2y = 7 + 12
2y = 7 + 12

Combine like terms: 7 + 12 = 19
2y = 19

Divide each side by '2'.
y = 9.5

Simplifying
y = 9.5

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