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Simplifying 5y + -1(8 + -1y) = 20 + -1(-4 + -1(3 + 5y) + -13) 5y + (8 * -1 + -1y * -1) = 20 + -1(-4 + -1(3 + 5y) + -13) 5y + (-8 + 1y) = 20 + -1(-4 + -1(3 + 5y) + -13) Reorder the terms: -8 + 5y + 1y = 20 + -1(-4 + -1(3 + 5y) + -13) Combine like terms: 5y + 1y = 6y -8 + 6y = 20 + -1(-4 + -1(3 + 5y) + -13) -8 + 6y = 20 + -1(-4 + (3 * -1 + 5y * -1) + -13) -8 + 6y = 20 + -1(-4 + (-3 + -5y) + -13) Reorder the terms: -8 + 6y = 20 + -1(-4 + -3 + -13 + -5y) Combine like terms: -4 + -3 = -7 -8 + 6y = 20 + -1(-7 + -13 + -5y) Combine like terms: -7 + -13 = -20 -8 + 6y = 20 + -1(-20 + -5y) -8 + 6y = 20 + (-20 * -1 + -5y * -1) -8 + 6y = 20 + (20 + 5y) Combine like terms: 20 + 20 = 40 -8 + 6y = 40 + 5y Solving -8 + 6y = 40 + 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. -8 + 6y + -5y = 40 + 5y + -5y Combine like terms: 6y + -5y = 1y -8 + 1y = 40 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 1y = 40 + 0 -8 + 1y = 40 Add '8' to each side of the equation. -8 + 8 + 1y = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 1y = 40 + 8 1y = 40 + 8 Combine like terms: 40 + 8 = 48 1y = 48 Divide each side by '1'. y = 48 Simplifying y = 48
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