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

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


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

Reorder the terms:
6(5 + y) + 3 = 2y + 21
(5 * 6 + y * 6) + 3 = 2y + 21
(30 + 6y) + 3 = 2y + 21

Reorder the terms:
30 + 3 + 6y = 2y + 21

Combine like terms: 30 + 3 = 33
33 + 6y = 2y + 21

Reorder the terms:
33 + 6y = 21 + 2y

Solving
33 + 6y = 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.
33 + 6y + -2y = 21 + 2y + -2y

Combine like terms: 6y + -2y = 4y
33 + 4y = 21 + 2y + -2y

Combine like terms: 2y + -2y = 0
33 + 4y = 21 + 0
33 + 4y = 21

Add '-33' to each side of the equation.
33 + -33 + 4y = 21 + -33

Combine like terms: 33 + -33 = 0
0 + 4y = 21 + -33
4y = 21 + -33

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

Divide each side by '4'.
y = -3

Simplifying
y = -3

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