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Simplifying -8(45y + 18) = 3(12y + 18) Reorder the terms: -8(18 + 45y) = 3(12y + 18) (18 * -8 + 45y * -8) = 3(12y + 18) (-144 + -360y) = 3(12y + 18) Reorder the terms: -144 + -360y = 3(18 + 12y) -144 + -360y = (18 * 3 + 12y * 3) -144 + -360y = (54 + 36y) Solving -144 + -360y = 54 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. -144 + -360y + -36y = 54 + 36y + -36y Combine like terms: -360y + -36y = -396y -144 + -396y = 54 + 36y + -36y Combine like terms: 36y + -36y = 0 -144 + -396y = 54 + 0 -144 + -396y = 54 Add '144' to each side of the equation. -144 + 144 + -396y = 54 + 144 Combine like terms: -144 + 144 = 0 0 + -396y = 54 + 144 -396y = 54 + 144 Combine like terms: 54 + 144 = 198 -396y = 198 Divide each side by '-396'. y = -0.5 Simplifying y = -0.5
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