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Simplifying 0.06(y + -6) + 0.10y = 0.12y + -0.01(10) Reorder the terms: 0.06(-6 + y) + 0.10y = 0.12y + -0.01(10) (-6 * 0.06 + y * 0.06) + 0.10y = 0.12y + -0.01(10) (-0.36 + 0.06y) + 0.10y = 0.12y + -0.01(10) Combine like terms: 0.06y + 0.10y = 0.16y -0.36 + 0.16y = 0.12y + -0.01(10) Multiply -0.01 * 10 -0.36 + 0.16y = 0.12y + -0.1 Reorder the terms: -0.36 + 0.16y = -0.1 + 0.12y Solving -0.36 + 0.16y = -0.1 + 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. -0.36 + 0.16y + -0.12y = -0.1 + 0.12y + -0.12y Combine like terms: 0.16y + -0.12y = 0.04y -0.36 + 0.04y = -0.1 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.36 + 0.04y = -0.1 + 0.00 -0.36 + 0.04y = -0.1 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.04y = -0.1 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.04y = -0.1 + 0.36 0.04y = -0.1 + 0.36 Combine like terms: -0.1 + 0.36 = 0.26 0.04y = 0.26 Divide each side by '0.04'. y = 6.5 Simplifying y = 6.5
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