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Simplifying 5y + 3(y + -6) = 5(y + 1) + -3 Reorder the terms: 5y + 3(-6 + y) = 5(y + 1) + -3 5y + (-6 * 3 + y * 3) = 5(y + 1) + -3 5y + (-18 + 3y) = 5(y + 1) + -3 Reorder the terms: -18 + 5y + 3y = 5(y + 1) + -3 Combine like terms: 5y + 3y = 8y -18 + 8y = 5(y + 1) + -3 Reorder the terms: -18 + 8y = 5(1 + y) + -3 -18 + 8y = (1 * 5 + y * 5) + -3 -18 + 8y = (5 + 5y) + -3 Reorder the terms: -18 + 8y = 5 + -3 + 5y Combine like terms: 5 + -3 = 2 -18 + 8y = 2 + 5y Solving -18 + 8y = 2 + 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. -18 + 8y + -5y = 2 + 5y + -5y Combine like terms: 8y + -5y = 3y -18 + 3y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -18 + 3y = 2 + 0 -18 + 3y = 2 Add '18' to each side of the equation. -18 + 18 + 3y = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = 2 + 18 3y = 2 + 18 Combine like terms: 2 + 18 = 20 3y = 20 Divide each side by '3'. y = 6.666666667 Simplifying y = 6.666666667
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