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Simplifying 5[y + -2] + -2 = 2[y + 1] + -5 Reorder the terms: 5[-2 + y] + -2 = 2[y + 1] + -5 [-2 * 5 + y * 5] + -2 = 2[y + 1] + -5 [-10 + 5y] + -2 = 2[y + 1] + -5 Reorder the terms: -10 + -2 + 5y = 2[y + 1] + -5 Combine like terms: -10 + -2 = -12 -12 + 5y = 2[y + 1] + -5 Reorder the terms: -12 + 5y = 2[1 + y] + -5 -12 + 5y = [1 * 2 + y * 2] + -5 -12 + 5y = [2 + 2y] + -5 Reorder the terms: -12 + 5y = 2 + -5 + 2y Combine like terms: 2 + -5 = -3 -12 + 5y = -3 + 2y Solving -12 + 5y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + 5y + -2y = -3 + 2y + -2y Combine like terms: 5y + -2y = 3y -12 + 3y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 3y = -3 + 0 -12 + 3y = -3 Add '12' to each side of the equation. -12 + 12 + 3y = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = -3 + 12 3y = -3 + 12 Combine like terms: -3 + 12 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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