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Simplifying 2[(2y + -1) + y] = 5(y + 3) Reorder the terms: 2[(-1 + 2y) + y] = 5(y + 3) Remove parenthesis around (-1 + 2y) 2[-1 + 2y + y] = 5(y + 3) Combine like terms: 2y + y = 3y 2[-1 + 3y] = 5(y + 3) [-1 * 2 + 3y * 2] = 5(y + 3) [-2 + 6y] = 5(y + 3) Reorder the terms: -2 + 6y = 5(3 + y) -2 + 6y = (3 * 5 + y * 5) -2 + 6y = (15 + 5y) Solving -2 + 6y = 15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -2 + 6y + -5y = 15 + 5y + -5y Combine like terms: 6y + -5y = 1y -2 + 1y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 -2 + 1y = 15 + 0 -2 + 1y = 15 Add '2' to each side of the equation. -2 + 2 + 1y = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = 15 + 2 1y = 15 + 2 Combine like terms: 15 + 2 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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