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Simplifying -10(y + 1) + 4(4y + -5) = 5(y + -4) + 9 Reorder the terms: -10(1 + y) + 4(4y + -5) = 5(y + -4) + 9 (1 * -10 + y * -10) + 4(4y + -5) = 5(y + -4) + 9 (-10 + -10y) + 4(4y + -5) = 5(y + -4) + 9 Reorder the terms: -10 + -10y + 4(-5 + 4y) = 5(y + -4) + 9 -10 + -10y + (-5 * 4 + 4y * 4) = 5(y + -4) + 9 -10 + -10y + (-20 + 16y) = 5(y + -4) + 9 Reorder the terms: -10 + -20 + -10y + 16y = 5(y + -4) + 9 Combine like terms: -10 + -20 = -30 -30 + -10y + 16y = 5(y + -4) + 9 Combine like terms: -10y + 16y = 6y -30 + 6y = 5(y + -4) + 9 Reorder the terms: -30 + 6y = 5(-4 + y) + 9 -30 + 6y = (-4 * 5 + y * 5) + 9 -30 + 6y = (-20 + 5y) + 9 Reorder the terms: -30 + 6y = -20 + 9 + 5y Combine like terms: -20 + 9 = -11 -30 + 6y = -11 + 5y Solving -30 + 6y = -11 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -30 + 6y + -5y = -11 + 5y + -5y Combine like terms: 6y + -5y = 1y -30 + 1y = -11 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 1y = -11 + 0 -30 + 1y = -11 Add '30' to each side of the equation. -30 + 30 + 1y = -11 + 30 Combine like terms: -30 + 30 = 0 0 + 1y = -11 + 30 1y = -11 + 30 Combine like terms: -11 + 30 = 19 1y = 19 Divide each side by '1'. y = 19 Simplifying y = 19
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