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Simplifying 3 + 2[y + -1(2y + 2)] = 2[y + (3y + -1)] Reorder the terms: 3 + 2[y + -1(2 + 2y)] = 2[y + (3y + -1)] 3 + 2[y + (2 * -1 + 2y * -1)] = 2[y + (3y + -1)] 3 + 2[y + (-2 + -2y)] = 2[y + (3y + -1)] Reorder the terms: 3 + 2[-2 + y + -2y] = 2[y + (3y + -1)] Combine like terms: y + -2y = -1y 3 + 2[-2 + -1y] = 2[y + (3y + -1)] 3 + [-2 * 2 + -1y * 2] = 2[y + (3y + -1)] 3 + [-4 + -2y] = 2[y + (3y + -1)] Combine like terms: 3 + -4 = -1 -1 + -2y = 2[y + (3y + -1)] Reorder the terms: -1 + -2y = 2[y + (-1 + 3y)] Remove parenthesis around (-1 + 3y) -1 + -2y = 2[y + -1 + 3y] Reorder the terms: -1 + -2y = 2[-1 + y + 3y] Combine like terms: y + 3y = 4y -1 + -2y = 2[-1 + 4y] -1 + -2y = [-1 * 2 + 4y * 2] -1 + -2y = [-2 + 8y] Solving -1 + -2y = -2 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -1 + -2y + -8y = -2 + 8y + -8y Combine like terms: -2y + -8y = -10y -1 + -10y = -2 + 8y + -8y Combine like terms: 8y + -8y = 0 -1 + -10y = -2 + 0 -1 + -10y = -2 Add '1' to each side of the equation. -1 + 1 + -10y = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -10y = -2 + 1 -10y = -2 + 1 Combine like terms: -2 + 1 = -1 -10y = -1 Divide each side by '-10'. y = 0.1 Simplifying y = 0.1
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