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Simplifying 6y + -1(4y + -13) = 3y + 2(5 + y) Reorder the terms: 6y + -1(-13 + 4y) = 3y + 2(5 + y) 6y + (-13 * -1 + 4y * -1) = 3y + 2(5 + y) 6y + (13 + -4y) = 3y + 2(5 + y) Reorder the terms: 13 + 6y + -4y = 3y + 2(5 + y) Combine like terms: 6y + -4y = 2y 13 + 2y = 3y + 2(5 + y) 13 + 2y = 3y + (5 * 2 + y * 2) 13 + 2y = 3y + (10 + 2y) Reorder the terms: 13 + 2y = 10 + 3y + 2y Combine like terms: 3y + 2y = 5y 13 + 2y = 10 + 5y Solving 13 + 2y = 10 + 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. 13 + 2y + -5y = 10 + 5y + -5y Combine like terms: 2y + -5y = -3y 13 + -3y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 13 + -3y = 10 + 0 13 + -3y = 10 Add '-13' to each side of the equation. 13 + -13 + -3y = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -3y = 10 + -13 -3y = 10 + -13 Combine like terms: 10 + -13 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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