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Simplifying 5y + 3(y + -5) = 5(9 + 1) + -3 Reorder the terms: 5y + 3(-5 + y) = 5(9 + 1) + -3 5y + (-5 * 3 + y * 3) = 5(9 + 1) + -3 5y + (-15 + 3y) = 5(9 + 1) + -3 Reorder the terms: -15 + 5y + 3y = 5(9 + 1) + -3 Combine like terms: 5y + 3y = 8y -15 + 8y = 5(9 + 1) + -3 Combine like terms: 9 + 1 = 10 -15 + 8y = 5(10) + -3 Multiply 5 * 10 -15 + 8y = 50 + -3 Combine like terms: 50 + -3 = 47 -15 + 8y = 47 Solving -15 + 8y = 47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8y = 47 + 15 Combine like terms: -15 + 15 = 0 0 + 8y = 47 + 15 8y = 47 + 15 Combine like terms: 47 + 15 = 62 8y = 62 Divide each side by '8'. y = 7.75 Simplifying y = 7.75
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