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Simplifying 5y + -2(y + -9) = 6 + -1y Reorder the terms: 5y + -2(-9 + y) = 6 + -1y 5y + (-9 * -2 + y * -2) = 6 + -1y 5y + (18 + -2y) = 6 + -1y Reorder the terms: 18 + 5y + -2y = 6 + -1y Combine like terms: 5y + -2y = 3y 18 + 3y = 6 + -1y Solving 18 + 3y = 6 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 18 + 3y + y = 6 + -1y + y Combine like terms: 3y + y = 4y 18 + 4y = 6 + -1y + y Combine like terms: -1y + y = 0 18 + 4y = 6 + 0 18 + 4y = 6 Add '-18' to each side of the equation. 18 + -18 + 4y = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 4y = 6 + -18 4y = 6 + -18 Combine like terms: 6 + -18 = -12 4y = -12 Divide each side by '4'. y = -3 Simplifying y = -3
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