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Simplifying 5y + 3(y + -3) = 3(y + 2) + -2 Reorder the terms: 5y + 3(-3 + y) = 3(y + 2) + -2 5y + (-3 * 3 + y * 3) = 3(y + 2) + -2 5y + (-9 + 3y) = 3(y + 2) + -2 Reorder the terms: -9 + 5y + 3y = 3(y + 2) + -2 Combine like terms: 5y + 3y = 8y -9 + 8y = 3(y + 2) + -2 Reorder the terms: -9 + 8y = 3(2 + y) + -2 -9 + 8y = (2 * 3 + y * 3) + -2 -9 + 8y = (6 + 3y) + -2 Reorder the terms: -9 + 8y = 6 + -2 + 3y Combine like terms: 6 + -2 = 4 -9 + 8y = 4 + 3y Solving -9 + 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. -9 + 8y + -3y = 4 + 3y + -3y Combine like terms: 8y + -3y = 5y -9 + 5y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + 5y = 4 + 0 -9 + 5y = 4 Add '9' to each side of the equation. -9 + 9 + 5y = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 5y = 4 + 9 5y = 4 + 9 Combine like terms: 4 + 9 = 13 5y = 13 Divide each side by '5'. y = 2.6 Simplifying y = 2.6
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