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Simplifying 0.12(y + -2) + 0.14y = 0.04y + -0.03(30) Reorder the terms: 0.12(-2 + y) + 0.14y = 0.04y + -0.03(30) (-2 * 0.12 + y * 0.12) + 0.14y = 0.04y + -0.03(30) (-0.24 + 0.12y) + 0.14y = 0.04y + -0.03(30) Combine like terms: 0.12y + 0.14y = 0.26y -0.24 + 0.26y = 0.04y + -0.03(30) Multiply -0.03 * 30 -0.24 + 0.26y = 0.04y + -0.9 Reorder the terms: -0.24 + 0.26y = -0.9 + 0.04y Solving -0.24 + 0.26y = -0.9 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.24 + 0.26y + -0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.26y + -0.04y = 0.22y -0.24 + 0.22y = -0.9 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.24 + 0.22y = -0.9 + 0.00 -0.24 + 0.22y = -0.9 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.22y = -0.9 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.22y = -0.9 + 0.24 0.22y = -0.9 + 0.24 Combine like terms: -0.9 + 0.24 = -0.66 0.22y = -0.66 Divide each side by '0.22'. y = -3 Simplifying y = -3
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