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Simplifying -2.2(y + 14) = 0.5(y + 0.5) Reorder the terms: -2.2(14 + y) = 0.5(y + 0.5) (14 * -2.2 + y * -2.2) = 0.5(y + 0.5) (-30.8 + -2.2y) = 0.5(y + 0.5) Reorder the terms: -30.8 + -2.2y = 0.5(0.5 + y) -30.8 + -2.2y = (0.5 * 0.5 + y * 0.5) -30.8 + -2.2y = (0.25 + 0.5y) Solving -30.8 + -2.2y = 0.25 + 0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5y' to each side of the equation. -30.8 + -2.2y + -0.5y = 0.25 + 0.5y + -0.5y Combine like terms: -2.2y + -0.5y = -2.7y -30.8 + -2.7y = 0.25 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 -30.8 + -2.7y = 0.25 + 0.0 -30.8 + -2.7y = 0.25 Add '30.8' to each side of the equation. -30.8 + 30.8 + -2.7y = 0.25 + 30.8 Combine like terms: -30.8 + 30.8 = 0.0 0.0 + -2.7y = 0.25 + 30.8 -2.7y = 0.25 + 30.8 Combine like terms: 0.25 + 30.8 = 31.05 -2.7y = 31.05 Divide each side by '-2.7'. y = -11.5 Simplifying y = -11.5
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