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Simplifying 20y + -5(1 + y) = 5(4y + -4) + -40 20y + (1 * -5 + y * -5) = 5(4y + -4) + -40 20y + (-5 + -5y) = 5(4y + -4) + -40 Reorder the terms: -5 + 20y + -5y = 5(4y + -4) + -40 Combine like terms: 20y + -5y = 15y -5 + 15y = 5(4y + -4) + -40 Reorder the terms: -5 + 15y = 5(-4 + 4y) + -40 -5 + 15y = (-4 * 5 + 4y * 5) + -40 -5 + 15y = (-20 + 20y) + -40 Reorder the terms: -5 + 15y = -20 + -40 + 20y Combine like terms: -20 + -40 = -60 -5 + 15y = -60 + 20y Solving -5 + 15y = -60 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -5 + 15y + -20y = -60 + 20y + -20y Combine like terms: 15y + -20y = -5y -5 + -5y = -60 + 20y + -20y Combine like terms: 20y + -20y = 0 -5 + -5y = -60 + 0 -5 + -5y = -60 Add '5' to each side of the equation. -5 + 5 + -5y = -60 + 5 Combine like terms: -5 + 5 = 0 0 + -5y = -60 + 5 -5y = -60 + 5 Combine like terms: -60 + 5 = -55 -5y = -55 Divide each side by '-5'. y = 11 Simplifying y = 11
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