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Simplifying 2(5y + -50) + -4(3y + -35) = 3y + -20 Reorder the terms: 2(-50 + 5y) + -4(3y + -35) = 3y + -20 (-50 * 2 + 5y * 2) + -4(3y + -35) = 3y + -20 (-100 + 10y) + -4(3y + -35) = 3y + -20 Reorder the terms: -100 + 10y + -4(-35 + 3y) = 3y + -20 -100 + 10y + (-35 * -4 + 3y * -4) = 3y + -20 -100 + 10y + (140 + -12y) = 3y + -20 Reorder the terms: -100 + 140 + 10y + -12y = 3y + -20 Combine like terms: -100 + 140 = 40 40 + 10y + -12y = 3y + -20 Combine like terms: 10y + -12y = -2y 40 + -2y = 3y + -20 Reorder the terms: 40 + -2y = -20 + 3y Solving 40 + -2y = -20 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 40 + -2y + -3y = -20 + 3y + -3y Combine like terms: -2y + -3y = -5y 40 + -5y = -20 + 3y + -3y Combine like terms: 3y + -3y = 0 40 + -5y = -20 + 0 40 + -5y = -20 Add '-40' to each side of the equation. 40 + -40 + -5y = -20 + -40 Combine like terms: 40 + -40 = 0 0 + -5y = -20 + -40 -5y = -20 + -40 Combine like terms: -20 + -40 = -60 -5y = -60 Divide each side by '-5'. y = 12 Simplifying y = 12
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