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Simplifying 5y + 3(y + -6) = 3(y + 2) + -2 Reorder the terms: 5y + 3(-6 + y) = 3(y + 2) + -2 5y + (-6 * 3 + y * 3) = 3(y + 2) + -2 5y + (-18 + 3y) = 3(y + 2) + -2 Reorder the terms: -18 + 5y + 3y = 3(y + 2) + -2 Combine like terms: 5y + 3y = 8y -18 + 8y = 3(y + 2) + -2 Reorder the terms: -18 + 8y = 3(2 + y) + -2 -18 + 8y = (2 * 3 + y * 3) + -2 -18 + 8y = (6 + 3y) + -2 Reorder the terms: -18 + 8y = 6 + -2 + 3y Combine like terms: 6 + -2 = 4 -18 + 8y = 4 + 3y Solving -18 + 8y = 4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -18 + 8y + -3y = 4 + 3y + -3y Combine like terms: 8y + -3y = 5y -18 + 5y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 5y = 4 + 0 -18 + 5y = 4 Add '18' to each side of the equation. -18 + 18 + 5y = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 5y = 4 + 18 5y = 4 + 18 Combine like terms: 4 + 18 = 22 5y = 22 Divide each side by '5'. y = 4.4 Simplifying y = 4.4
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