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Simplifying 0.1(y + -6) + 0.06y = 0.12y + -0.01(40) Reorder the terms: 0.1(-6 + y) + 0.06y = 0.12y + -0.01(40) (-6 * 0.1 + y * 0.1) + 0.06y = 0.12y + -0.01(40) (-0.6 + 0.1y) + 0.06y = 0.12y + -0.01(40) Combine like terms: 0.1y + 0.06y = 0.16y -0.6 + 0.16y = 0.12y + -0.01(40) Multiply -0.01 * 40 -0.6 + 0.16y = 0.12y + -0.4 Reorder the terms: -0.6 + 0.16y = -0.4 + 0.12y Solving -0.6 + 0.16y = -0.4 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.6 + 0.16y + -0.12y = -0.4 + 0.12y + -0.12y Combine like terms: 0.16y + -0.12y = 0.04y -0.6 + 0.04y = -0.4 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.6 + 0.04y = -0.4 + 0.00 -0.6 + 0.04y = -0.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.04y = -0.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.04y = -0.4 + 0.6 0.04y = -0.4 + 0.6 Combine like terms: -0.4 + 0.6 = 0.2 0.04y = 0.2 Divide each side by '0.04'. y = 5 Simplifying y = 5
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