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Simplifying -1[2](1[y + -5] * 1) = 4y + 40 Reorder the terms: -1 * 2(1[-5 + y] * 1) = 4y + 40 Reorder the terms for easier multiplication: -1 * 2(1 * 1[-5 + y]) = 4y + 40 Multiply 1 * 1 -1 * 2(1[-5 + y]) = 4y + 40 -1 * 2([-5 * 1 + y * 1]) = 4y + 40 -1 * 2([-5 + 1y]) = 4y + 40 Multiply -1 * 2 -2(-5 + 1y) = 4y + 40 (-5 * -2 + 1y * -2) = 4y + 40 (10 + -2y) = 4y + 40 Reorder the terms: 10 + -2y = 40 + 4y Solving 10 + -2y = 40 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 10 + -2y + -4y = 40 + 4y + -4y Combine like terms: -2y + -4y = -6y 10 + -6y = 40 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + -6y = 40 + 0 10 + -6y = 40 Add '-10' to each side of the equation. 10 + -10 + -6y = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -6y = 40 + -10 -6y = 40 + -10 Combine like terms: 40 + -10 = 30 -6y = 30 Divide each side by '-6'. y = -5 Simplifying y = -5
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