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Simplifying 14y + -1[10(3 + -1y) + -18] = 6y + 3(5 + -3y) 14y + -1[(3 * 10 + -1y * 10) + -18] = 6y + 3(5 + -3y) 14y + -1[(30 + -10y) + -18] = 6y + 3(5 + -3y) Reorder the terms: 14y + -1[30 + -18 + -10y] = 6y + 3(5 + -3y) Combine like terms: 30 + -18 = 12 14y + -1[12 + -10y] = 6y + 3(5 + -3y) 14y + [12 * -1 + -10y * -1] = 6y + 3(5 + -3y) 14y + [-12 + 10y] = 6y + 3(5 + -3y) Reorder the terms: -12 + 14y + 10y = 6y + 3(5 + -3y) Combine like terms: 14y + 10y = 24y -12 + 24y = 6y + 3(5 + -3y) -12 + 24y = 6y + (5 * 3 + -3y * 3) -12 + 24y = 6y + (15 + -9y) Reorder the terms: -12 + 24y = 15 + 6y + -9y Combine like terms: 6y + -9y = -3y -12 + 24y = 15 + -3y Solving -12 + 24y = 15 + -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. -12 + 24y + 3y = 15 + -3y + 3y Combine like terms: 24y + 3y = 27y -12 + 27y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + 27y = 15 + 0 -12 + 27y = 15 Add '12' to each side of the equation. -12 + 12 + 27y = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 27y = 15 + 12 27y = 15 + 12 Combine like terms: 15 + 12 = 27 27y = 27 Divide each side by '27'. y = 1 Simplifying y = 1
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