9(y+3)+2=4y+19

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Solution for 9(y+3)+2=4y+19 equation:


Simplifying
9(y + 3) + 2 = 4y + 19

Reorder the terms:
9(3 + y) + 2 = 4y + 19
(3 * 9 + y * 9) + 2 = 4y + 19
(27 + 9y) + 2 = 4y + 19

Reorder the terms:
27 + 2 + 9y = 4y + 19

Combine like terms: 27 + 2 = 29
29 + 9y = 4y + 19

Reorder the terms:
29 + 9y = 19 + 4y

Solving
29 + 9y = 19 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
29 + 9y + -4y = 19 + 4y + -4y

Combine like terms: 9y + -4y = 5y
29 + 5y = 19 + 4y + -4y

Combine like terms: 4y + -4y = 0
29 + 5y = 19 + 0
29 + 5y = 19

Add '-29' to each side of the equation.
29 + -29 + 5y = 19 + -29

Combine like terms: 29 + -29 = 0
0 + 5y = 19 + -29
5y = 19 + -29

Combine like terms: 19 + -29 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2

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