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Simplifying 5(1 + -3y) + -2(10 + -1y) = -10y (1 * 5 + -3y * 5) + -2(10 + -1y) = -10y (5 + -15y) + -2(10 + -1y) = -10y 5 + -15y + (10 * -2 + -1y * -2) = -10y 5 + -15y + (-20 + 2y) = -10y Reorder the terms: 5 + -20 + -15y + 2y = -10y Combine like terms: 5 + -20 = -15 -15 + -15y + 2y = -10y Combine like terms: -15y + 2y = -13y -15 + -13y = -10y Solving -15 + -13y = -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -15 + -13y + 10y = -10y + 10y Combine like terms: -13y + 10y = -3y -15 + -3y = -10y + 10y Combine like terms: -10y + 10y = 0 -15 + -3y = 0 Add '15' to each side of the equation. -15 + 15 + -3y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3y = 0 + 15 -3y = 0 + 15 Combine like terms: 0 + 15 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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