5y+11=3(y+7)

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Solution for 5y+11=3(y+7) equation:


Simplifying
5y + 11 = 3(y + 7)

Reorder the terms:
11 + 5y = 3(y + 7)

Reorder the terms:
11 + 5y = 3(7 + y)
11 + 5y = (7 * 3 + y * 3)
11 + 5y = (21 + 3y)

Solving
11 + 5y = 21 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
11 + 5y + -3y = 21 + 3y + -3y

Combine like terms: 5y + -3y = 2y
11 + 2y = 21 + 3y + -3y

Combine like terms: 3y + -3y = 0
11 + 2y = 21 + 0
11 + 2y = 21

Add '-11' to each side of the equation.
11 + -11 + 2y = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 2y = 21 + -11
2y = 21 + -11

Combine like terms: 21 + -11 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5

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