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Simplifying -3(y + 5) = 2y + 15 Reorder the terms: -3(5 + y) = 2y + 15 (5 * -3 + y * -3) = 2y + 15 (-15 + -3y) = 2y + 15 Reorder the terms: -15 + -3y = 15 + 2y Solving -15 + -3y = 15 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -15 + -3y + -2y = 15 + 2y + -2y Combine like terms: -3y + -2y = -5y -15 + -5y = 15 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + -5y = 15 + 0 -15 + -5y = 15 Add '15' to each side of the equation. -15 + 15 + -5y = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -5y = 15 + 15 -5y = 15 + 15 Combine like terms: 15 + 15 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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