3(y-4)+8y=21

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Solution for 3(y-4)+8y=21 equation:


Simplifying
3(y + -4) + 8y = 21

Reorder the terms:
3(-4 + y) + 8y = 21
(-4 * 3 + y * 3) + 8y = 21
(-12 + 3y) + 8y = 21

Combine like terms: 3y + 8y = 11y
-12 + 11y = 21

Solving
-12 + 11y = 21

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 11y = 21 + 12

Combine like terms: -12 + 12 = 0
0 + 11y = 21 + 12
11y = 21 + 12

Combine like terms: 21 + 12 = 33
11y = 33

Divide each side by '11'.
y = 3

Simplifying
y = 3

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