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Simplifying 0.02(y + -4) + 0.12y = 0.04 + -0.01(30) Reorder the terms: 0.02(-4 + y) + 0.12y = 0.04 + -0.01(30) (-4 * 0.02 + y * 0.02) + 0.12y = 0.04 + -0.01(30) (-0.08 + 0.02y) + 0.12y = 0.04 + -0.01(30) Combine like terms: 0.02y + 0.12y = 0.14y -0.08 + 0.14y = 0.04 + -0.01(30) Multiply -0.01 * 30 -0.08 + 0.14y = 0.04 + -0.3 Combine like terms: 0.04 + -0.3 = -0.26 -0.08 + 0.14y = -0.26 Solving -0.08 + 0.14y = -0.26 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.14y = -0.26 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.14y = -0.26 + 0.08 0.14y = -0.26 + 0.08 Combine like terms: -0.26 + 0.08 = -0.18 0.14y = -0.18 Divide each side by '0.14'. y = -1.285714286 Simplifying y = -1.285714286
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