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Simplifying -2.1(y + 6) = 0.1(y + 0.5) Reorder the terms: -2.1(6 + y) = 0.1(y + 0.5) (6 * -2.1 + y * -2.1) = 0.1(y + 0.5) (-12.6 + -2.1y) = 0.1(y + 0.5) Reorder the terms: -12.6 + -2.1y = 0.1(0.5 + y) -12.6 + -2.1y = (0.5 * 0.1 + y * 0.1) -12.6 + -2.1y = (0.05 + 0.1y) Solving -12.6 + -2.1y = 0.05 + 0.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.1y' to each side of the equation. -12.6 + -2.1y + -0.1y = 0.05 + 0.1y + -0.1y Combine like terms: -2.1y + -0.1y = -2.2y -12.6 + -2.2y = 0.05 + 0.1y + -0.1y Combine like terms: 0.1y + -0.1y = 0.0 -12.6 + -2.2y = 0.05 + 0.0 -12.6 + -2.2y = 0.05 Add '12.6' to each side of the equation. -12.6 + 12.6 + -2.2y = 0.05 + 12.6 Combine like terms: -12.6 + 12.6 = 0.0 0.0 + -2.2y = 0.05 + 12.6 -2.2y = 0.05 + 12.6 Combine like terms: 0.05 + 12.6 = 12.65 -2.2y = 12.65 Divide each side by '-2.2'. y = -5.75 Simplifying y = -5.75
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