2(y+3)+y=19-(2y+3)

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Solution for 2(y+3)+y=19-(2y+3) equation:


Simplifying
2(y + 3) + y = 19 + -1(2y + 3)

Reorder the terms:
2(3 + y) + y = 19 + -1(2y + 3)
(3 * 2 + y * 2) + y = 19 + -1(2y + 3)
(6 + 2y) + y = 19 + -1(2y + 3)

Combine like terms: 2y + y = 3y
6 + 3y = 19 + -1(2y + 3)

Reorder the terms:
6 + 3y = 19 + -1(3 + 2y)
6 + 3y = 19 + (3 * -1 + 2y * -1)
6 + 3y = 19 + (-3 + -2y)

Combine like terms: 19 + -3 = 16
6 + 3y = 16 + -2y

Solving
6 + 3y = 16 + -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.
6 + 3y + 2y = 16 + -2y + 2y

Combine like terms: 3y + 2y = 5y
6 + 5y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + 5y = 16 + 0
6 + 5y = 16

Add '-6' to each side of the equation.
6 + -6 + 5y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 16 + -6
5y = 16 + -6

Combine like terms: 16 + -6 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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