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Simplifying 5(y + -3) = 7 + 3y Reorder the terms: 5(-3 + y) = 7 + 3y (-3 * 5 + y * 5) = 7 + 3y (-15 + 5y) = 7 + 3y Solving -15 + 5y = 7 + 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 = 7 + 3y + -3y Combine like terms: 5y + -3y = 2y -15 + 2y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 2y = 7 + 0 -15 + 2y = 7 Add '15' to each side of the equation. -15 + 15 + 2y = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = 7 + 15 2y = 7 + 15 Combine like terms: 7 + 15 = 22 2y = 22 Divide each side by '2'. y = 11 Simplifying y = 11
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