3(5y+9)=7y

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Solution for 3(5y+9)=7y equation:


Simplifying
3(5y + 9) = 7y

Reorder the terms:
3(9 + 5y) = 7y
(9 * 3 + 5y * 3) = 7y
(27 + 15y) = 7y

Solving
27 + 15y = 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
27 + 15y + -7y = 7y + -7y

Combine like terms: 15y + -7y = 8y
27 + 8y = 7y + -7y

Combine like terms: 7y + -7y = 0
27 + 8y = 0

Add '-27' to each side of the equation.
27 + -27 + 8y = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 8y = 0 + -27
8y = 0 + -27

Combine like terms: 0 + -27 = -27
8y = -27

Divide each side by '8'.
y = -3.375

Simplifying
y = -3.375

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