3y+42=6(y+3)

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Solution for 3y+42=6(y+3) equation:


Simplifying
3y + 42 = 6(y + 3)

Reorder the terms:
42 + 3y = 6(y + 3)

Reorder the terms:
42 + 3y = 6(3 + y)
42 + 3y = (3 * 6 + y * 6)
42 + 3y = (18 + 6y)

Solving
42 + 3y = 18 + 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.
42 + 3y + -6y = 18 + 6y + -6y

Combine like terms: 3y + -6y = -3y
42 + -3y = 18 + 6y + -6y

Combine like terms: 6y + -6y = 0
42 + -3y = 18 + 0
42 + -3y = 18

Add '-42' to each side of the equation.
42 + -42 + -3y = 18 + -42

Combine like terms: 42 + -42 = 0
0 + -3y = 18 + -42
-3y = 18 + -42

Combine like terms: 18 + -42 = -24
-3y = -24

Divide each side by '-3'.
y = 8

Simplifying
y = 8

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