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Simplifying y(5 + -3) + 9 = 6(y + -5) Combine like terms: 5 + -3 = 2 y(2) + 9 = 6(y + -5) Reorder the terms for easier multiplication: 2y + 9 = 6(y + -5) Reorder the terms: 9 + 2y = 6(y + -5) Reorder the terms: 9 + 2y = 6(-5 + y) 9 + 2y = (-5 * 6 + y * 6) 9 + 2y = (-30 + 6y) Solving 9 + 2y = -30 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 9 + 2y + -6y = -30 + 6y + -6y Combine like terms: 2y + -6y = -4y 9 + -4y = -30 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + -4y = -30 + 0 9 + -4y = -30 Add '-9' to each side of the equation. 9 + -9 + -4y = -30 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = -30 + -9 -4y = -30 + -9 Combine like terms: -30 + -9 = -39 -4y = -39 Divide each side by '-4'. y = 9.75 Simplifying y = 9.75
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