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Simplifying 8y + 2(y + -9) = 5(y + 1) + -2 Reorder the terms: 8y + 2(-9 + y) = 5(y + 1) + -2 8y + (-9 * 2 + y * 2) = 5(y + 1) + -2 8y + (-18 + 2y) = 5(y + 1) + -2 Reorder the terms: -18 + 8y + 2y = 5(y + 1) + -2 Combine like terms: 8y + 2y = 10y -18 + 10y = 5(y + 1) + -2 Reorder the terms: -18 + 10y = 5(1 + y) + -2 -18 + 10y = (1 * 5 + y * 5) + -2 -18 + 10y = (5 + 5y) + -2 Reorder the terms: -18 + 10y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -18 + 10y = 3 + 5y Solving -18 + 10y = 3 + 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 + 10y + -5y = 3 + 5y + -5y Combine like terms: 10y + -5y = 5y -18 + 5y = 3 + 5y + -5y Combine like terms: 5y + -5y = 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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