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Simplifying 5y + 3(y + -5) = 3(y + 1) + -2 Reorder the terms: 5y + 3(-5 + y) = 3(y + 1) + -2 5y + (-5 * 3 + y * 3) = 3(y + 1) + -2 5y + (-15 + 3y) = 3(y + 1) + -2 Reorder the terms: -15 + 5y + 3y = 3(y + 1) + -2 Combine like terms: 5y + 3y = 8y -15 + 8y = 3(y + 1) + -2 Reorder the terms: -15 + 8y = 3(1 + y) + -2 -15 + 8y = (1 * 3 + y * 3) + -2 -15 + 8y = (3 + 3y) + -2 Reorder the terms: -15 + 8y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -15 + 8y = 1 + 3y Solving -15 + 8y = 1 + 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. -15 + 8y + -3y = 1 + 3y + -3y Combine like terms: 8y + -3y = 5y -15 + 5y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 5y = 1 + 0 -15 + 5y = 1 Add '15' to each side of the equation. -15 + 15 + 5y = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 5y = 1 + 15 5y = 1 + 15 Combine like terms: 1 + 15 = 16 5y = 16 Divide each side by '5'. y = 3.2 Simplifying y = 3.2
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