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Simplifying 0.16(y + -7) + 0.064 = 0.20y + -1.2 Reorder the terms: 0.16(-7 + y) + 0.064 = 0.20y + -1.2 (-7 * 0.16 + y * 0.16) + 0.064 = 0.20y + -1.2 (-1.12 + 0.16y) + 0.064 = 0.20y + -1.2 Reorder the terms: -1.12 + 0.064 + 0.16y = 0.20y + -1.2 Combine like terms: -1.12 + 0.064 = -1.056 -1.056 + 0.16y = 0.20y + -1.2 Reorder the terms: -1.056 + 0.16y = -1.2 + 0.20y Solving -1.056 + 0.16y = -1.2 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -1.056 + 0.16y + -0.20y = -1.2 + 0.20y + -0.20y Combine like terms: 0.16y + -0.20y = -0.04y -1.056 + -0.04y = -1.2 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.056 + -0.04y = -1.2 + 0.00 -1.056 + -0.04y = -1.2 Add '1.056' to each side of the equation. -1.056 + 1.056 + -0.04y = -1.2 + 1.056 Combine like terms: -1.056 + 1.056 = 0.000 0.000 + -0.04y = -1.2 + 1.056 -0.04y = -1.2 + 1.056 Combine like terms: -1.2 + 1.056 = -0.144 -0.04y = -0.144 Divide each side by '-0.04'. y = 3.6 Simplifying y = 3.6
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