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

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


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

Reorder the terms:
2(2 + y) + y = 19 + -1(2y + 3)
(2 * 2 + y * 2) + y = 19 + -1(2y + 3)
(4 + 2y) + y = 19 + -1(2y + 3)

Combine like terms: 2y + y = 3y
4 + 3y = 19 + -1(2y + 3)

Reorder the terms:
4 + 3y = 19 + -1(3 + 2y)
4 + 3y = 19 + (3 * -1 + 2y * -1)
4 + 3y = 19 + (-3 + -2y)

Combine like terms: 19 + -3 = 16
4 + 3y = 16 + -2y

Solving
4 + 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.
4 + 3y + 2y = 16 + -2y + 2y

Combine like terms: 3y + 2y = 5y
4 + 5y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
4 + 5y = 16 + 0
4 + 5y = 16

Add '-4' to each side of the equation.
4 + -4 + 5y = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 16 + -4
5y = 16 + -4

Combine like terms: 16 + -4 = 12
5y = 12

Divide each side by '5'.
y = 2.4

Simplifying
y = 2.4

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