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Simplifying 9 + -1(-1y + -7) = 3(y + 4) + -7(y + 4) Reorder the terms: 9 + -1(-7 + -1y) = 3(y + 4) + -7(y + 4) 9 + (-7 * -1 + -1y * -1) = 3(y + 4) + -7(y + 4) 9 + (7 + 1y) = 3(y + 4) + -7(y + 4) Combine like terms: 9 + 7 = 16 16 + 1y = 3(y + 4) + -7(y + 4) Reorder the terms: 16 + 1y = 3(4 + y) + -7(y + 4) 16 + 1y = (4 * 3 + y * 3) + -7(y + 4) 16 + 1y = (12 + 3y) + -7(y + 4) Reorder the terms: 16 + 1y = 12 + 3y + -7(4 + y) 16 + 1y = 12 + 3y + (4 * -7 + y * -7) 16 + 1y = 12 + 3y + (-28 + -7y) Reorder the terms: 16 + 1y = 12 + -28 + 3y + -7y Combine like terms: 12 + -28 = -16 16 + 1y = -16 + 3y + -7y Combine like terms: 3y + -7y = -4y 16 + 1y = -16 + -4y Solving 16 + 1y = -16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 16 + 1y + 4y = -16 + -4y + 4y Combine like terms: 1y + 4y = 5y 16 + 5y = -16 + -4y + 4y Combine like terms: -4y + 4y = 0 16 + 5y = -16 + 0 16 + 5y = -16 Add '-16' to each side of the equation. 16 + -16 + 5y = -16 + -16 Combine like terms: 16 + -16 = 0 0 + 5y = -16 + -16 5y = -16 + -16 Combine like terms: -16 + -16 = -32 5y = -32 Divide each side by '5'. y = -6.4 Simplifying y = -6.4
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