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Simplifying 5y + 3(y + -6) = 6(y + 1) + -3 Reorder the terms: 5y + 3(-6 + y) = 6(y + 1) + -3 5y + (-6 * 3 + y * 3) = 6(y + 1) + -3 5y + (-18 + 3y) = 6(y + 1) + -3 Reorder the terms: -18 + 5y + 3y = 6(y + 1) + -3 Combine like terms: 5y + 3y = 8y -18 + 8y = 6(y + 1) + -3 Reorder the terms: -18 + 8y = 6(1 + y) + -3 -18 + 8y = (1 * 6 + y * 6) + -3 -18 + 8y = (6 + 6y) + -3 Reorder the terms: -18 + 8y = 6 + -3 + 6y Combine like terms: 6 + -3 = 3 -18 + 8y = 3 + 6y Solving -18 + 8y = 3 + 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 + 8y + -6y = 3 + 6y + -6y Combine like terms: 8y + -6y = 2y -18 + 2y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -18 + 2y = 3 + 0 -18 + 2y = 3 Add '18' to each side of the equation. -18 + 18 + 2y = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 2y = 3 + 18 2y = 3 + 18 Combine like terms: 3 + 18 = 21 2y = 21 Divide each side by '2'. y = 10.5 Simplifying y = 10.5
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