5(6y+2)=-10(y-1)-320

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Solution for 5(6y+2)=-10(y-1)-320 equation: 


Simplifying
5(6y + 2) = -10(y + -1) + -320

Reorder the terms:
5(2 + 6y) = -10(y + -1) + -320
(2 * 5 + 6y * 5) = -10(y + -1) + -320
(10 + 30y) = -10(y + -1) + -320

Reorder the terms:
10 + 30y = -10(-1 + y) + -320
10 + 30y = (-1 * -10 + y * -10) + -320
10 + 30y = (10 + -10y) + -320

Reorder the terms:
10 + 30y = 10 + -320 + -10y

Combine like terms: 10 + -320 = -310
10 + 30y = -310 + -10y

Solving
10 + 30y = -310 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
10 + 30y + 10y = -310 + -10y + 10y

Combine like terms: 30y + 10y = 40y
10 + 40y = -310 + -10y + 10y

Combine like terms: -10y + 10y = 0
10 + 40y = -310 + 0
10 + 40y = -310

Add '-10' to each side of the equation.
10 + -10 + 40y = -310 + -10

Combine like terms: 10 + -10 = 0
0 + 40y = -310 + -10
40y = -310 + -10

Combine like terms: -310 + -10 = -320
40y = -320

Divide each side by '40'.
y = -8

Simplifying
y = -8

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