3y+21=5+15y-10

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Solution for 3y+21=5+15y-10 equation:


Simplifying
3y + 21 = 5 + 15y + -10

Reorder the terms:
21 + 3y = 5 + 15y + -10

Reorder the terms:
21 + 3y = 5 + -10 + 15y

Combine like terms: 5 + -10 = -5
21 + 3y = -5 + 15y

Solving
21 + 3y = -5 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
21 + 3y + -15y = -5 + 15y + -15y

Combine like terms: 3y + -15y = -12y
21 + -12y = -5 + 15y + -15y

Combine like terms: 15y + -15y = 0
21 + -12y = -5 + 0
21 + -12y = -5

Add '-21' to each side of the equation.
21 + -21 + -12y = -5 + -21

Combine like terms: 21 + -21 = 0
0 + -12y = -5 + -21
-12y = -5 + -21

Combine like terms: -5 + -21 = -26
-12y = -26

Divide each side by '-12'.
y = 2.166666667

Simplifying
y = 2.166666667

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