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Simplifying y + 9 = 5(y + -3) Reorder the terms: 9 + y = 5(y + -3) Reorder the terms: 9 + y = 5(-3 + y) 9 + y = (-3 * 5 + y * 5) 9 + y = (-15 + 5y) Solving 9 + y = -15 + 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 + y + -5y = -15 + 5y + -5y Combine like terms: y + -5y = -4y 9 + -4y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 9 + -4y = -15 + 0 9 + -4y = -15 Add '-9' to each side of the equation. 9 + -9 + -4y = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = -15 + -9 -4y = -15 + -9 Combine like terms: -15 + -9 = -24 -4y = -24 Divide each side by '-4'. y = 6 Simplifying y = 6
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