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Simplifying 2 + -7(y + 4) = y + 9 Reorder the terms: 2 + -7(4 + y) = y + 9 2 + (4 * -7 + y * -7) = y + 9 2 + (-28 + -7y) = y + 9 Combine like terms: 2 + -28 = -26 -26 + -7y = y + 9 Reorder the terms: -26 + -7y = 9 + y Solving -26 + -7y = 9 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -26 + -7y + -1y = 9 + y + -1y Combine like terms: -7y + -1y = -8y -26 + -8y = 9 + y + -1y Combine like terms: y + -1y = 0 -26 + -8y = 9 + 0 -26 + -8y = 9 Add '26' to each side of the equation. -26 + 26 + -8y = 9 + 26 Combine like terms: -26 + 26 = 0 0 + -8y = 9 + 26 -8y = 9 + 26 Combine like terms: 9 + 26 = 35 -8y = 35 Divide each side by '-8'. y = -4.375 Simplifying y = -4.375
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