10(y+4)=3y-3

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Solution for 10(y+4)=3y-3 equation:


Simplifying
10(y + 4) = 3y + -3

Reorder the terms:
10(4 + y) = 3y + -3
(4 * 10 + y * 10) = 3y + -3
(40 + 10y) = 3y + -3

Reorder the terms:
40 + 10y = -3 + 3y

Solving
40 + 10y = -3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
40 + 10y + -3y = -3 + 3y + -3y

Combine like terms: 10y + -3y = 7y
40 + 7y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
40 + 7y = -3 + 0
40 + 7y = -3

Add '-40' to each side of the equation.
40 + -40 + 7y = -3 + -40

Combine like terms: 40 + -40 = 0
0 + 7y = -3 + -40
7y = -3 + -40

Combine like terms: -3 + -40 = -43
7y = -43

Divide each side by '7'.
y = -6.142857143

Simplifying
y = -6.142857143

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