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Simplifying -10(y + 3) + 4(4y + -5) = 5(y + -6) + 10 Reorder the terms: -10(3 + y) + 4(4y + -5) = 5(y + -6) + 10 (3 * -10 + y * -10) + 4(4y + -5) = 5(y + -6) + 10 (-30 + -10y) + 4(4y + -5) = 5(y + -6) + 10 Reorder the terms: -30 + -10y + 4(-5 + 4y) = 5(y + -6) + 10 -30 + -10y + (-5 * 4 + 4y * 4) = 5(y + -6) + 10 -30 + -10y + (-20 + 16y) = 5(y + -6) + 10 Reorder the terms: -30 + -20 + -10y + 16y = 5(y + -6) + 10 Combine like terms: -30 + -20 = -50 -50 + -10y + 16y = 5(y + -6) + 10 Combine like terms: -10y + 16y = 6y -50 + 6y = 5(y + -6) + 10 Reorder the terms: -50 + 6y = 5(-6 + y) + 10 -50 + 6y = (-6 * 5 + y * 5) + 10 -50 + 6y = (-30 + 5y) + 10 Reorder the terms: -50 + 6y = -30 + 10 + 5y Combine like terms: -30 + 10 = -20 -50 + 6y = -20 + 5y Solving -50 + 6y = -20 + 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. -50 + 6y + -5y = -20 + 5y + -5y Combine like terms: 6y + -5y = 1y -50 + 1y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 -50 + 1y = -20 + 0 -50 + 1y = -20 Add '50' to each side of the equation. -50 + 50 + 1y = -20 + 50 Combine like terms: -50 + 50 = 0 0 + 1y = -20 + 50 1y = -20 + 50 Combine like terms: -20 + 50 = 30 1y = 30 Divide each side by '1'. y = 30 Simplifying y = 30
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