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Simplifying 0.08(y + -7) + 0.12y = 0.10y + -0.01(50) Reorder the terms: 0.08(-7 + y) + 0.12y = 0.10y + -0.01(50) (-7 * 0.08 + y * 0.08) + 0.12y = 0.10y + -0.01(50) (-0.56 + 0.08y) + 0.12y = 0.10y + -0.01(50) Combine like terms: 0.08y + 0.12y = 0.2y -0.56 + 0.2y = 0.10y + -0.01(50) Multiply -0.01 * 50 -0.56 + 0.2y = 0.10y + -0.5 Reorder the terms: -0.56 + 0.2y = -0.5 + 0.10y Solving -0.56 + 0.2y = -0.5 + 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. -0.56 + 0.2y + -0.10y = -0.5 + 0.10y + -0.10y Combine like terms: 0.2y + -0.10y = 0.1y -0.56 + 0.1y = -0.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.56 + 0.1y = -0.5 + 0.00 -0.56 + 0.1y = -0.5 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.1y = -0.5 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.1y = -0.5 + 0.56 0.1y = -0.5 + 0.56 Combine like terms: -0.5 + 0.56 = 0.06 0.1y = 0.06 Divide each side by '0.1'. y = 0.6 Simplifying y = 0.6
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