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Simplifying 3(y + -3) = 5(y + -9) Reorder the terms: 3(-3 + y) = 5(y + -9) (-3 * 3 + y * 3) = 5(y + -9) (-9 + 3y) = 5(y + -9) Reorder the terms: -9 + 3y = 5(-9 + y) -9 + 3y = (-9 * 5 + y * 5) -9 + 3y = (-45 + 5y) Solving -9 + 3y = -45 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -9 + 3y + -5y = -45 + 5y + -5y Combine like terms: 3y + -5y = -2y -9 + -2y = -45 + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + -2y = -45 + 0 -9 + -2y = -45 Add '9' to each side of the equation. -9 + 9 + -2y = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = -45 + 9 -2y = -45 + 9 Combine like terms: -45 + 9 = -36 -2y = -36 Divide each side by '-2'. y = 18 Simplifying y = 18
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