(10-(3y)5)+7(2)=34

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Solution for (10-(3y)5)+7(2)=34 equation: 


Simplifying
(10 + -1(3y) * 5) + 7(2) = 34

Remove parenthesis around (3y)
(10 + -1 * 3y * 5) + 7(2) = 34

Reorder the terms for easier multiplication:
(10 + -1 * 3 * 5y) + 7(2) = 34

Multiply -1 * 3
(10 + -3 * 5y) + 7(2) = 34

Multiply -3 * 5
(10 + -15y) + 7(2) = 34

Remove parenthesis around (10 + -15y)
10 + -15y + 7(2) = 34

Multiply 7 * 2
10 + -15y + 14 = 34

Reorder the terms:
10 + 14 + -15y = 34

Combine like terms: 10 + 14 = 24
24 + -15y = 34

Solving
24 + -15y = 34

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -24 + -15y = 34 + -24

Combine like terms: 24 + -24 = 0
0 + -15y = 34 + -24
-15y = 34 + -24

Combine like terms: 34 + -24 = 10
-15y = 10

Divide each side by '-15'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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