2(4-3y)+5(y+3)=21+2y

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Solution for 2(4-3y)+5(y+3)=21+2y equation:


Simplifying
2(4 + -3y) + 5(y + 3) = 21 + 2y
(4 * 2 + -3y * 2) + 5(y + 3) = 21 + 2y
(8 + -6y) + 5(y + 3) = 21 + 2y

Reorder the terms:
8 + -6y + 5(3 + y) = 21 + 2y
8 + -6y + (3 * 5 + y * 5) = 21 + 2y
8 + -6y + (15 + 5y) = 21 + 2y

Reorder the terms:
8 + 15 + -6y + 5y = 21 + 2y

Combine like terms: 8 + 15 = 23
23 + -6y + 5y = 21 + 2y

Combine like terms: -6y + 5y = -1y
23 + -1y = 21 + 2y

Solving
23 + -1y = 21 + 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.
23 + -1y + -2y = 21 + 2y + -2y

Combine like terms: -1y + -2y = -3y
23 + -3y = 21 + 2y + -2y

Combine like terms: 2y + -2y = 0
23 + -3y = 21 + 0
23 + -3y = 21

Add '-23' to each side of the equation.
23 + -23 + -3y = 21 + -23

Combine like terms: 23 + -23 = 0
0 + -3y = 21 + -23
-3y = 21 + -23

Combine like terms: 21 + -23 = -2
-3y = -2

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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