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Simplifying 45 + 6y + -18 = 17y + -9 + -2y Reorder the terms: 45 + -18 + 6y = 17y + -9 + -2y Combine like terms: 45 + -18 = 27 27 + 6y = 17y + -9 + -2y Reorder the terms: 27 + 6y = -9 + 17y + -2y Combine like terms: 17y + -2y = 15y 27 + 6y = -9 + 15y Solving 27 + 6y = -9 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 27 + 6y + -15y = -9 + 15y + -15y Combine like terms: 6y + -15y = -9y 27 + -9y = -9 + 15y + -15y Combine like terms: 15y + -15y = 0 27 + -9y = -9 + 0 27 + -9y = -9 Add '-27' to each side of the equation. 27 + -27 + -9y = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -9y = -9 + -27 -9y = -9 + -27 Combine like terms: -9 + -27 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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