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Simplifying 5 + -1(y + -18) = 6(4y + -18) Reorder the terms: 5 + -1(-18 + y) = 6(4y + -18) 5 + (-18 * -1 + y * -1) = 6(4y + -18) 5 + (18 + -1y) = 6(4y + -18) Combine like terms: 5 + 18 = 23 23 + -1y = 6(4y + -18) Reorder the terms: 23 + -1y = 6(-18 + 4y) 23 + -1y = (-18 * 6 + 4y * 6) 23 + -1y = (-108 + 24y) Solving 23 + -1y = -108 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 23 + -1y + -24y = -108 + 24y + -24y Combine like terms: -1y + -24y = -25y 23 + -25y = -108 + 24y + -24y Combine like terms: 24y + -24y = 0 23 + -25y = -108 + 0 23 + -25y = -108 Add '-23' to each side of the equation. 23 + -23 + -25y = -108 + -23 Combine like terms: 23 + -23 = 0 0 + -25y = -108 + -23 -25y = -108 + -23 Combine like terms: -108 + -23 = -131 -25y = -131 Divide each side by '-25'. y = 5.24 Simplifying y = 5.24
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