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Simplifying 0.14(y + -8) + 0.08y = 0.10y + -0.01(40) Reorder the terms: 0.14(-8 + y) + 0.08y = 0.10y + -0.01(40) (-8 * 0.14 + y * 0.14) + 0.08y = 0.10y + -0.01(40) (-1.12 + 0.14y) + 0.08y = 0.10y + -0.01(40) Combine like terms: 0.14y + 0.08y = 0.22y -1.12 + 0.22y = 0.10y + -0.01(40) Multiply -0.01 * 40 -1.12 + 0.22y = 0.10y + -0.4 Reorder the terms: -1.12 + 0.22y = -0.4 + 0.10y Solving -1.12 + 0.22y = -0.4 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -1.12 + 0.22y + -0.10y = -0.4 + 0.10y + -0.10y Combine like terms: 0.22y + -0.10y = 0.12y -1.12 + 0.12y = -0.4 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.12 + 0.12y = -0.4 + 0.00 -1.12 + 0.12y = -0.4 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.12y = -0.4 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.12y = -0.4 + 1.12 0.12y = -0.4 + 1.12 Combine like terms: -0.4 + 1.12 = 0.72 0.12y = 0.72 Divide each side by '0.12'. y = 6 Simplifying y = 6
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