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Simplifying 8y + 3(y + -6) = 6(y + 1) + -3 Reorder the terms: 8y + 3(-6 + y) = 6(y + 1) + -3 8y + (-6 * 3 + y * 3) = 6(y + 1) + -3 8y + (-18 + 3y) = 6(y + 1) + -3 Reorder the terms: -18 + 8y + 3y = 6(y + 1) + -3 Combine like terms: 8y + 3y = 11y -18 + 11y = 6(y + 1) + -3 Reorder the terms: -18 + 11y = 6(1 + y) + -3 -18 + 11y = (1 * 6 + y * 6) + -3 -18 + 11y = (6 + 6y) + -3 Reorder the terms: -18 + 11y = 6 + -3 + 6y Combine like terms: 6 + -3 = 3 -18 + 11y = 3 + 6y Solving -18 + 11y = 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 + 11y + -6y = 3 + 6y + -6y Combine like terms: 11y + -6y = 5y -18 + 5y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -18 + 5y = 3 + 0 -18 + 5y = 3 Add '18' to each side of the equation. -18 + 18 + 5y = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 5y = 3 + 18 5y = 3 + 18 Combine like terms: 3 + 18 = 21 5y = 21 Divide each side by '5'. y = 4.2 Simplifying y = 4.2
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