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Simplifying 0.02(y + -3) + 0.16y = 0.14y + -0.01(30) Reorder the terms: 0.02(-3 + y) + 0.16y = 0.14y + -0.01(30) (-3 * 0.02 + y * 0.02) + 0.16y = 0.14y + -0.01(30) (-0.06 + 0.02y) + 0.16y = 0.14y + -0.01(30) Combine like terms: 0.02y + 0.16y = 0.18y -0.06 + 0.18y = 0.14y + -0.01(30) Multiply -0.01 * 30 -0.06 + 0.18y = 0.14y + -0.3 Reorder the terms: -0.06 + 0.18y = -0.3 + 0.14y Solving -0.06 + 0.18y = -0.3 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.06 + 0.18y + -0.14y = -0.3 + 0.14y + -0.14y Combine like terms: 0.18y + -0.14y = 0.04y -0.06 + 0.04y = -0.3 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.06 + 0.04y = -0.3 + 0.00 -0.06 + 0.04y = -0.3 Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.04y = -0.3 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.04y = -0.3 + 0.06 0.04y = -0.3 + 0.06 Combine like terms: -0.3 + 0.06 = -0.24 0.04y = -0.24 Divide each side by '0.04'. y = -6 Simplifying y = -6
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