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Simplifying 7 + -1(y + -4) + 4y + -9 = y + 6 Reorder the terms: 7 + -1(-4 + y) + 4y + -9 = y + 6 7 + (-4 * -1 + y * -1) + 4y + -9 = y + 6 7 + (4 + -1y) + 4y + -9 = y + 6 Reorder the terms: 7 + 4 + -9 + -1y + 4y = y + 6 Combine like terms: 7 + 4 = 11 11 + -9 + -1y + 4y = y + 6 Combine like terms: 11 + -9 = 2 2 + -1y + 4y = y + 6 Combine like terms: -1y + 4y = 3y 2 + 3y = y + 6 Reorder the terms: 2 + 3y = 6 + y Solving 2 + 3y = 6 + 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. 2 + 3y + -1y = 6 + y + -1y Combine like terms: 3y + -1y = 2y 2 + 2y = 6 + y + -1y Combine like terms: y + -1y = 0 2 + 2y = 6 + 0 2 + 2y = 6 Add '-2' to each side of the equation. 2 + -2 + 2y = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 6 + -2 2y = 6 + -2 Combine like terms: 6 + -2 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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