5y-20=2(y-7)

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Solution for 5y-20=2(y-7) equation:


Simplifying
5y + -20 = 2(y + -7)

Reorder the terms:
-20 + 5y = 2(y + -7)

Reorder the terms:
-20 + 5y = 2(-7 + y)
-20 + 5y = (-7 * 2 + y * 2)
-20 + 5y = (-14 + 2y)

Solving
-20 + 5y = -14 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-20 + 5y + -2y = -14 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-20 + 3y = -14 + 2y + -2y

Combine like terms: 2y + -2y = 0
-20 + 3y = -14 + 0
-20 + 3y = -14

Add '20' to each side of the equation.
-20 + 20 + 3y = -14 + 20

Combine like terms: -20 + 20 = 0
0 + 3y = -14 + 20
3y = -14 + 20

Combine like terms: -14 + 20 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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