5(3y+4)-3(2y-10)=383

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Solution for 5(3y+4)-3(2y-10)=383 equation: 


Simplifying
5(3y + 4) + -3(2y + -10) = 383

Reorder the terms:
5(4 + 3y) + -3(2y + -10) = 383
(4 * 5 + 3y * 5) + -3(2y + -10) = 383
(20 + 15y) + -3(2y + -10) = 383

Reorder the terms:
20 + 15y + -3(-10 + 2y) = 383
20 + 15y + (-10 * -3 + 2y * -3) = 383
20 + 15y + (30 + -6y) = 383

Reorder the terms:
20 + 30 + 15y + -6y = 383

Combine like terms: 20 + 30 = 50
50 + 15y + -6y = 383

Combine like terms: 15y + -6y = 9y
50 + 9y = 383

Solving
50 + 9y = 383

Solving for variable 'y'.

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

Add '-50' to each side of the equation.
50 + -50 + 9y = 383 + -50

Combine like terms: 50 + -50 = 0
0 + 9y = 383 + -50
9y = 383 + -50

Combine like terms: 383 + -50 = 333
9y = 333

Divide each side by '9'.
y = 37

Simplifying
y = 37

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