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Simplifying 7(y + 9) = -6y + -15 Reorder the terms: 7(9 + y) = -6y + -15 (9 * 7 + y * 7) = -6y + -15 (63 + 7y) = -6y + -15 Reorder the terms: 63 + 7y = -15 + -6y Solving 63 + 7y = -15 + -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. 63 + 7y + 6y = -15 + -6y + 6y Combine like terms: 7y + 6y = 13y 63 + 13y = -15 + -6y + 6y Combine like terms: -6y + 6y = 0 63 + 13y = -15 + 0 63 + 13y = -15 Add '-63' to each side of the equation. 63 + -63 + 13y = -15 + -63 Combine like terms: 63 + -63 = 0 0 + 13y = -15 + -63 13y = -15 + -63 Combine like terms: -15 + -63 = -78 13y = -78 Divide each side by '13'. y = -6 Simplifying y = -6
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