5y-2=2(y+7)-1

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Solution for 5y-2=2(y+7)-1 equation:


Simplifying
5y + -2 = 2(y + 7) + -1

Reorder the terms:
-2 + 5y = 2(y + 7) + -1

Reorder the terms:
-2 + 5y = 2(7 + y) + -1
-2 + 5y = (7 * 2 + y * 2) + -1
-2 + 5y = (14 + 2y) + -1

Reorder the terms:
-2 + 5y = 14 + -1 + 2y

Combine like terms: 14 + -1 = 13
-2 + 5y = 13 + 2y

Solving
-2 + 5y = 13 + 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.
-2 + 5y + -2y = 13 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-2 + 3y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
-2 + 3y = 13 + 0
-2 + 3y = 13

Add '2' to each side of the equation.
-2 + 2 + 3y = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 3y = 13 + 2
3y = 13 + 2

Combine like terms: 13 + 2 = 15
3y = 15

Divide each side by '3'.
y = 5

Simplifying
y = 5

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