3(5y-2)=90-6y

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Solution for 3(5y-2)=90-6y equation:


Simplifying
3(5y + -2) = 90 + -6y

Reorder the terms:
3(-2 + 5y) = 90 + -6y
(-2 * 3 + 5y * 3) = 90 + -6y
(-6 + 15y) = 90 + -6y

Solving
-6 + 15y = 90 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-6 + 15y + 6y = 90 + -6y + 6y

Combine like terms: 15y + 6y = 21y
-6 + 21y = 90 + -6y + 6y

Combine like terms: -6y + 6y = 0
-6 + 21y = 90 + 0
-6 + 21y = 90

Add '6' to each side of the equation.
-6 + 6 + 21y = 90 + 6

Combine like terms: -6 + 6 = 0
0 + 21y = 90 + 6
21y = 90 + 6

Combine like terms: 90 + 6 = 96
21y = 96

Divide each side by '21'.
y = 4.571428571

Simplifying
y = 4.571428571

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