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Simplifying 0.08(y + -8) + 0.06y = 0.16y + -0.7 Reorder the terms: 0.08(-8 + y) + 0.06y = 0.16y + -0.7 (-8 * 0.08 + y * 0.08) + 0.06y = 0.16y + -0.7 (-0.64 + 0.08y) + 0.06y = 0.16y + -0.7 Combine like terms: 0.08y + 0.06y = 0.14y -0.64 + 0.14y = 0.16y + -0.7 Reorder the terms: -0.64 + 0.14y = -0.7 + 0.16y Solving -0.64 + 0.14y = -0.7 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.64 + 0.14y + -0.16y = -0.7 + 0.16y + -0.16y Combine like terms: 0.14y + -0.16y = -0.02y -0.64 + -0.02y = -0.7 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.64 + -0.02y = -0.7 + 0.00 -0.64 + -0.02y = -0.7 Add '0.64' to each side of the equation. -0.64 + 0.64 + -0.02y = -0.7 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + -0.02y = -0.7 + 0.64 -0.02y = -0.7 + 0.64 Combine like terms: -0.7 + 0.64 = -0.06 -0.02y = -0.06 Divide each side by '-0.02'. y = 3 Simplifying y = 3
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