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Simplifying 0.02(y + -8) + 0.04y = 0.16y + -0.07(10) Reorder the terms: 0.02(-8 + y) + 0.04y = 0.16y + -0.07(10) (-8 * 0.02 + y * 0.02) + 0.04y = 0.16y + -0.07(10) (-0.16 + 0.02y) + 0.04y = 0.16y + -0.07(10) Combine like terms: 0.02y + 0.04y = 0.06y -0.16 + 0.06y = 0.16y + -0.07(10) Multiply -0.07 * 10 -0.16 + 0.06y = 0.16y + -0.7 Reorder the terms: -0.16 + 0.06y = -0.7 + 0.16y Solving -0.16 + 0.06y = -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. -0.16 + 0.06y + -0.16y = -0.7 + 0.16y + -0.16y Combine like terms: 0.06y + -0.16y = -0.1y -0.16 + -0.1y = -0.7 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.16 + -0.1y = -0.7 + 0.00 -0.16 + -0.1y = -0.7 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.1y = -0.7 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.1y = -0.7 + 0.16 -0.1y = -0.7 + 0.16 Combine like terms: -0.7 + 0.16 = -0.54 -0.1y = -0.54 Divide each side by '-0.1'. y = 5.4 Simplifying y = 5.4
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