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Simplifying 13 + -1(-1y + -5) = 2(y + 3) + -8(y + 3) Reorder the terms: 13 + -1(-5 + -1y) = 2(y + 3) + -8(y + 3) 13 + (-5 * -1 + -1y * -1) = 2(y + 3) + -8(y + 3) 13 + (5 + 1y) = 2(y + 3) + -8(y + 3) Combine like terms: 13 + 5 = 18 18 + 1y = 2(y + 3) + -8(y + 3) Reorder the terms: 18 + 1y = 2(3 + y) + -8(y + 3) 18 + 1y = (3 * 2 + y * 2) + -8(y + 3) 18 + 1y = (6 + 2y) + -8(y + 3) Reorder the terms: 18 + 1y = 6 + 2y + -8(3 + y) 18 + 1y = 6 + 2y + (3 * -8 + y * -8) 18 + 1y = 6 + 2y + (-24 + -8y) Reorder the terms: 18 + 1y = 6 + -24 + 2y + -8y Combine like terms: 6 + -24 = -18 18 + 1y = -18 + 2y + -8y Combine like terms: 2y + -8y = -6y 18 + 1y = -18 + -6y Solving 18 + 1y = -18 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 18 + 1y + 6y = -18 + -6y + 6y Combine like terms: 1y + 6y = 7y 18 + 7y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 18 + 7y = -18 + 0 18 + 7y = -18 Add '-18' to each side of the equation. 18 + -18 + 7y = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 7y = -18 + -18 7y = -18 + -18 Combine like terms: -18 + -18 = -36 7y = -36 Divide each side by '7'. y = -5.142857143 Simplifying y = -5.142857143
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