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Simplifying 7(y + 9) = -3y + 43 Reorder the terms: 7(9 + y) = -3y + 43 (9 * 7 + y * 7) = -3y + 43 (63 + 7y) = -3y + 43 Reorder the terms: 63 + 7y = 43 + -3y Solving 63 + 7y = 43 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 63 + 7y + 3y = 43 + -3y + 3y Combine like terms: 7y + 3y = 10y 63 + 10y = 43 + -3y + 3y Combine like terms: -3y + 3y = 0 63 + 10y = 43 + 0 63 + 10y = 43 Add '-63' to each side of the equation. 63 + -63 + 10y = 43 + -63 Combine like terms: 63 + -63 = 0 0 + 10y = 43 + -63 10y = 43 + -63 Combine like terms: 43 + -63 = -20 10y = -20 Divide each side by '10'. y = -2 Simplifying y = -2
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