10(3y+2)+10=15[2(y+1)-(y-1)]-5

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Solution for 10(3y+2)+10=15[2(y+1)-(y-1)]-5 equation: 


Simplifying
10(3y + 2) + 10 = 15[2(y + 1) + -1(y + -1)] + -5

Reorder the terms:
10(2 + 3y) + 10 = 15[2(y + 1) + -1(y + -1)] + -5
(2 * 10 + 3y * 10) + 10 = 15[2(y + 1) + -1(y + -1)] + -5
(20 + 30y) + 10 = 15[2(y + 1) + -1(y + -1)] + -5

Reorder the terms:
20 + 10 + 30y = 15[2(y + 1) + -1(y + -1)] + -5

Combine like terms: 20 + 10 = 30
30 + 30y = 15[2(y + 1) + -1(y + -1)] + -5

Reorder the terms:
30 + 30y = 15[2(1 + y) + -1(y + -1)] + -5
30 + 30y = 15[(1 * 2 + y * 2) + -1(y + -1)] + -5
30 + 30y = 15[(2 + 2y) + -1(y + -1)] + -5

Reorder the terms:
30 + 30y = 15[2 + 2y + -1(-1 + y)] + -5
30 + 30y = 15[2 + 2y + (-1 * -1 + y * -1)] + -5
30 + 30y = 15[2 + 2y + (1 + -1y)] + -5

Reorder the terms:
30 + 30y = 15[2 + 1 + 2y + -1y] + -5

Combine like terms: 2 + 1 = 3
30 + 30y = 15[3 + 2y + -1y] + -5

Combine like terms: 2y + -1y = 1y
30 + 30y = 15[3 + 1y] + -5
30 + 30y = [3 * 15 + 1y * 15] + -5
30 + 30y = [45 + 15y] + -5

Reorder the terms:
30 + 30y = 45 + -5 + 15y

Combine like terms: 45 + -5 = 40
30 + 30y = 40 + 15y

Solving
30 + 30y = 40 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
30 + 30y + -15y = 40 + 15y + -15y

Combine like terms: 30y + -15y = 15y
30 + 15y = 40 + 15y + -15y

Combine like terms: 15y + -15y = 0
30 + 15y = 40 + 0
30 + 15y = 40

Add '-30' to each side of the equation.
30 + -30 + 15y = 40 + -30

Combine like terms: 30 + -30 = 0
0 + 15y = 40 + -30
15y = 40 + -30

Combine like terms: 40 + -30 = 10
15y = 10

Divide each side by '15'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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