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Simplifying 0.12(y + -3) + 0.10 = 0.02 + -0.5 Reorder the terms: 0.12(-3 + y) + 0.10 = 0.02 + -0.5 (-3 * 0.12 + y * 0.12) + 0.10 = 0.02 + -0.5 (-0.36 + 0.12y) + 0.10 = 0.02 + -0.5 Reorder the terms: -0.36 + 0.10 + 0.12y = 0.02 + -0.5 Combine like terms: -0.36 + 0.10 = -0.26 -0.26 + 0.12y = 0.02 + -0.5 Combine like terms: 0.02 + -0.5 = -0.48 -0.26 + 0.12y = -0.48 Solving -0.26 + 0.12y = -0.48 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.26' to each side of the equation. -0.26 + 0.26 + 0.12y = -0.48 + 0.26 Combine like terms: -0.26 + 0.26 = 0.00 0.00 + 0.12y = -0.48 + 0.26 0.12y = -0.48 + 0.26 Combine like terms: -0.48 + 0.26 = -0.22 0.12y = -0.22 Divide each side by '0.12'. y = -1.833333333 Simplifying y = -1.833333333
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