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Simplifying -84 + 9y + 6 = 3(5y + -5) + -9 Reorder the terms: -84 + 6 + 9y = 3(5y + -5) + -9 Combine like terms: -84 + 6 = -78 -78 + 9y = 3(5y + -5) + -9 Reorder the terms: -78 + 9y = 3(-5 + 5y) + -9 -78 + 9y = (-5 * 3 + 5y * 3) + -9 -78 + 9y = (-15 + 15y) + -9 Reorder the terms: -78 + 9y = -15 + -9 + 15y Combine like terms: -15 + -9 = -24 -78 + 9y = -24 + 15y Solving -78 + 9y = -24 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -78 + 9y + -15y = -24 + 15y + -15y Combine like terms: 9y + -15y = -6y -78 + -6y = -24 + 15y + -15y Combine like terms: 15y + -15y = 0 -78 + -6y = -24 + 0 -78 + -6y = -24 Add '78' to each side of the equation. -78 + 78 + -6y = -24 + 78 Combine like terms: -78 + 78 = 0 0 + -6y = -24 + 78 -6y = -24 + 78 Combine like terms: -24 + 78 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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