3y+21=5(y+1)

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Solution for 3y+21=5(y+1) equation:


Simplifying
3y + 21 = 5(y + 1)

Reorder the terms:
21 + 3y = 5(y + 1)

Reorder the terms:
21 + 3y = 5(1 + y)
21 + 3y = (1 * 5 + y * 5)
21 + 3y = (5 + 5y)

Solving
21 + 3y = 5 + 5y

Solving for variable 'y'.

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

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

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

Combine like terms: 5y + -5y = 0
21 + -2y = 5 + 0
21 + -2y = 5

Add '-21' to each side of the equation.
21 + -21 + -2y = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -2y = 5 + -21
-2y = 5 + -21

Combine like terms: 5 + -21 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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