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Simplifying 3[y + -1(10 + -1y)] = 4(2y + 4) 3[y + (10 * -1 + -1y * -1)] = 4(2y + 4) 3[y + (-10 + 1y)] = 4(2y + 4) Reorder the terms: 3[-10 + y + 1y] = 4(2y + 4) Combine like terms: y + 1y = 2y 3[-10 + 2y] = 4(2y + 4) [-10 * 3 + 2y * 3] = 4(2y + 4) [-30 + 6y] = 4(2y + 4) Reorder the terms: -30 + 6y = 4(4 + 2y) -30 + 6y = (4 * 4 + 2y * 4) -30 + 6y = (16 + 8y) Solving -30 + 6y = 16 + 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. -30 + 6y + -8y = 16 + 8y + -8y Combine like terms: 6y + -8y = -2y -30 + -2y = 16 + 8y + -8y Combine like terms: 8y + -8y = 0 -30 + -2y = 16 + 0 -30 + -2y = 16 Add '30' to each side of the equation. -30 + 30 + -2y = 16 + 30 Combine like terms: -30 + 30 = 0 0 + -2y = 16 + 30 -2y = 16 + 30 Combine like terms: 16 + 30 = 46 -2y = 46 Divide each side by '-2'. y = -23 Simplifying y = -23
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