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

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Solution for 5(y-2)+6=21+3(y+4) equation:


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

Reorder the terms:
5(-2 + y) + 6 = 21 + 3(y + 4)
(-2 * 5 + y * 5) + 6 = 21 + 3(y + 4)
(-10 + 5y) + 6 = 21 + 3(y + 4)

Reorder the terms:
-10 + 6 + 5y = 21 + 3(y + 4)

Combine like terms: -10 + 6 = -4
-4 + 5y = 21 + 3(y + 4)

Reorder the terms:
-4 + 5y = 21 + 3(4 + y)
-4 + 5y = 21 + (4 * 3 + y * 3)
-4 + 5y = 21 + (12 + 3y)

Combine like terms: 21 + 12 = 33
-4 + 5y = 33 + 3y

Solving
-4 + 5y = 33 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-4 + 5y + -3y = 33 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-4 + 2y = 33 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 2y = 33 + 0
-4 + 2y = 33

Add '4' to each side of the equation.
-4 + 4 + 2y = 33 + 4

Combine like terms: -4 + 4 = 0
0 + 2y = 33 + 4
2y = 33 + 4

Combine like terms: 33 + 4 = 37
2y = 37

Divide each side by '2'.
y = 18.5

Simplifying
y = 18.5

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