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Simplifying 9y + 7 = -6y + 52 Reorder the terms: 7 + 9y = -6y + 52 Reorder the terms: 7 + 9y = 52 + -6y Solving 7 + 9y = 52 + -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. 7 + 9y + 6y = 52 + -6y + 6y Combine like terms: 9y + 6y = 15y 7 + 15y = 52 + -6y + 6y Combine like terms: -6y + 6y = 0 7 + 15y = 52 + 0 7 + 15y = 52 Add '-7' to each side of the equation. 7 + -7 + 15y = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 15y = 52 + -7 15y = 52 + -7 Combine like terms: 52 + -7 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
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