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Simplifying 5(y + -2) = 2(12 + -9y) + y Reorder the terms: 5(-2 + y) = 2(12 + -9y) + y (-2 * 5 + y * 5) = 2(12 + -9y) + y (-10 + 5y) = 2(12 + -9y) + y -10 + 5y = (12 * 2 + -9y * 2) + y -10 + 5y = (24 + -18y) + y Combine like terms: -18y + y = -17y -10 + 5y = 24 + -17y Solving -10 + 5y = 24 + -17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17y' to each side of the equation. -10 + 5y + 17y = 24 + -17y + 17y Combine like terms: 5y + 17y = 22y -10 + 22y = 24 + -17y + 17y Combine like terms: -17y + 17y = 0 -10 + 22y = 24 + 0 -10 + 22y = 24 Add '10' to each side of the equation. -10 + 10 + 22y = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 22y = 24 + 10 22y = 24 + 10 Combine like terms: 24 + 10 = 34 22y = 34 Divide each side by '22'. y = 1.545454545 Simplifying y = 1.545454545
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