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Simplifying 5(y + -3) = -9y + 41 Reorder the terms: 5(-3 + y) = -9y + 41 (-3 * 5 + y * 5) = -9y + 41 (-15 + 5y) = -9y + 41 Reorder the terms: -15 + 5y = 41 + -9y Solving -15 + 5y = 41 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -15 + 5y + 9y = 41 + -9y + 9y Combine like terms: 5y + 9y = 14y -15 + 14y = 41 + -9y + 9y Combine like terms: -9y + 9y = 0 -15 + 14y = 41 + 0 -15 + 14y = 41 Add '15' to each side of the equation. -15 + 15 + 14y = 41 + 15 Combine like terms: -15 + 15 = 0 0 + 14y = 41 + 15 14y = 41 + 15 Combine like terms: 41 + 15 = 56 14y = 56 Divide each side by '14'. y = 4 Simplifying y = 4
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