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Simplifying 5(y + -3) = 5 + -3y Reorder the terms: 5(-3 + y) = 5 + -3y (-3 * 5 + y * 5) = 5 + -3y (-15 + 5y) = 5 + -3y Solving -15 + 5y = 5 + -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 + 5y + 3y = 5 + -3y + 3y Combine like terms: 5y + 3y = 8y -15 + 8y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 -15 + 8y = 5 + 0 -15 + 8y = 5 Add '15' to each side of the equation. -15 + 15 + 8y = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 8y = 5 + 15 8y = 5 + 15 Combine like terms: 5 + 15 = 20 8y = 20 Divide each side by '8'. y = 2.5 Simplifying y = 2.5
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