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Simplifying 0.18(y + -3) + 0.16y = 0.12y + -1.2 Reorder the terms: 0.18(-3 + y) + 0.16y = 0.12y + -1.2 (-3 * 0.18 + y * 0.18) + 0.16y = 0.12y + -1.2 (-0.54 + 0.18y) + 0.16y = 0.12y + -1.2 Combine like terms: 0.18y + 0.16y = 0.34y -0.54 + 0.34y = 0.12y + -1.2 Reorder the terms: -0.54 + 0.34y = -1.2 + 0.12y Solving -0.54 + 0.34y = -1.2 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.54 + 0.34y + -0.12y = -1.2 + 0.12y + -0.12y Combine like terms: 0.34y + -0.12y = 0.22y -0.54 + 0.22y = -1.2 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.54 + 0.22y = -1.2 + 0.00 -0.54 + 0.22y = -1.2 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.22y = -1.2 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.22y = -1.2 + 0.54 0.22y = -1.2 + 0.54 Combine like terms: -1.2 + 0.54 = -0.66 0.22y = -0.66 Divide each side by '0.22'. y = -3 Simplifying y = -3
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