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Simplifying 0.12(y + -3) + 0.10 = 0.02y + -0.09(10) Reorder the terms: 0.12(-3 + y) + 0.10 = 0.02y + -0.09(10) (-3 * 0.12 + y * 0.12) + 0.10 = 0.02y + -0.09(10) (-0.36 + 0.12y) + 0.10 = 0.02y + -0.09(10) Reorder the terms: -0.36 + 0.10 + 0.12y = 0.02y + -0.09(10) Combine like terms: -0.36 + 0.10 = -0.26 -0.26 + 0.12y = 0.02y + -0.09(10) Multiply -0.09 * 10 -0.26 + 0.12y = 0.02y + -0.9 Reorder the terms: -0.26 + 0.12y = -0.9 + 0.02y Solving -0.26 + 0.12y = -0.9 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.26 + 0.12y + -0.02y = -0.9 + 0.02y + -0.02y Combine like terms: 0.12y + -0.02y = 0.1y -0.26 + 0.1y = -0.9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.26 + 0.1y = -0.9 + 0.00 -0.26 + 0.1y = -0.9 Add '0.26' to each side of the equation. -0.26 + 0.26 + 0.1y = -0.9 + 0.26 Combine like terms: -0.26 + 0.26 = 0.00 0.00 + 0.1y = -0.9 + 0.26 0.1y = -0.9 + 0.26 Combine like terms: -0.9 + 0.26 = -0.64 0.1y = -0.64 Divide each side by '0.1'. y = -6.4 Simplifying y = -6.4
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