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Simplifying 0.75(y + -5) = 0.375(y + -0.2) Reorder the terms: 0.75(-5 + y) = 0.375(y + -0.2) (-5 * 0.75 + y * 0.75) = 0.375(y + -0.2) (-3.75 + 0.75y) = 0.375(y + -0.2) Reorder the terms: -3.75 + 0.75y = 0.375(-0.2 + y) -3.75 + 0.75y = (-0.2 * 0.375 + y * 0.375) -3.75 + 0.75y = (-0.075 + 0.375y) Solving -3.75 + 0.75y = -0.075 + 0.375y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.375y' to each side of the equation. -3.75 + 0.75y + -0.375y = -0.075 + 0.375y + -0.375y Combine like terms: 0.75y + -0.375y = 0.375y -3.75 + 0.375y = -0.075 + 0.375y + -0.375y Combine like terms: 0.375y + -0.375y = 0.000 -3.75 + 0.375y = -0.075 + 0.000 -3.75 + 0.375y = -0.075 Add '3.75' to each side of the equation. -3.75 + 3.75 + 0.375y = -0.075 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + 0.375y = -0.075 + 3.75 0.375y = -0.075 + 3.75 Combine like terms: -0.075 + 3.75 = 3.675 0.375y = 3.675 Divide each side by '0.375'. y = 9.8 Simplifying y = 9.8
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