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Simplifying 0.14(y + -3) + 0.12y = 0.06y + -0.01(30) Reorder the terms: 0.14(-3 + y) + 0.12y = 0.06y + -0.01(30) (-3 * 0.14 + y * 0.14) + 0.12y = 0.06y + -0.01(30) (-0.42 + 0.14y) + 0.12y = 0.06y + -0.01(30) Combine like terms: 0.14y + 0.12y = 0.26y -0.42 + 0.26y = 0.06y + -0.01(30) Multiply -0.01 * 30 -0.42 + 0.26y = 0.06y + -0.3 Reorder the terms: -0.42 + 0.26y = -0.3 + 0.06y Solving -0.42 + 0.26y = -0.3 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.42 + 0.26y + -0.06y = -0.3 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -0.42 + 0.2y = -0.3 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.42 + 0.2y = -0.3 + 0.00 -0.42 + 0.2y = -0.3 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.2y = -0.3 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.2y = -0.3 + 0.42 0.2y = -0.3 + 0.42 Combine like terms: -0.3 + 0.42 = 0.12 0.2y = 0.12 Divide each side by '0.2'. y = 0.6 Simplifying y = 0.6
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