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Simplifying 0.08(y + -8) + 0.06 = 0.04y + -0.01(70) Reorder the terms: 0.08(-8 + y) + 0.06 = 0.04y + -0.01(70) (-8 * 0.08 + y * 0.08) + 0.06 = 0.04y + -0.01(70) (-0.64 + 0.08y) + 0.06 = 0.04y + -0.01(70) Reorder the terms: -0.64 + 0.06 + 0.08y = 0.04y + -0.01(70) Combine like terms: -0.64 + 0.06 = -0.58 -0.58 + 0.08y = 0.04y + -0.01(70) Multiply -0.01 * 70 -0.58 + 0.08y = 0.04y + -0.7 Reorder the terms: -0.58 + 0.08y = -0.7 + 0.04y Solving -0.58 + 0.08y = -0.7 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.58 + 0.08y + -0.04y = -0.7 + 0.04y + -0.04y Combine like terms: 0.08y + -0.04y = 0.04y -0.58 + 0.04y = -0.7 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.58 + 0.04y = -0.7 + 0.00 -0.58 + 0.04y = -0.7 Add '0.58' to each side of the equation. -0.58 + 0.58 + 0.04y = -0.7 + 0.58 Combine like terms: -0.58 + 0.58 = 0.00 0.00 + 0.04y = -0.7 + 0.58 0.04y = -0.7 + 0.58 Combine like terms: -0.7 + 0.58 = -0.12 0.04y = -0.12 Divide each side by '0.04'. y = -3 Simplifying y = -3
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