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Simplifying 0.12(y + -2) + 0.18 = 0.08 + -0.03(30) Reorder the terms: 0.12(-2 + y) + 0.18 = 0.08 + -0.03(30) (-2 * 0.12 + y * 0.12) + 0.18 = 0.08 + -0.03(30) (-0.24 + 0.12y) + 0.18 = 0.08 + -0.03(30) Reorder the terms: -0.24 + 0.18 + 0.12y = 0.08 + -0.03(30) Combine like terms: -0.24 + 0.18 = -0.06 -0.06 + 0.12y = 0.08 + -0.03(30) Multiply -0.03 * 30 -0.06 + 0.12y = 0.08 + -0.9 Combine like terms: 0.08 + -0.9 = -0.82 -0.06 + 0.12y = -0.82 Solving -0.06 + 0.12y = -0.82 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.12y = -0.82 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.12y = -0.82 + 0.06 0.12y = -0.82 + 0.06 Combine like terms: -0.82 + 0.06 = -0.76 0.12y = -0.76 Divide each side by '0.12'. y = -6.333333333 Simplifying y = -6.333333333
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