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Simplifying 0.5(y + 9) = 2(y + -6) Reorder the terms: 0.5(9 + y) = 2(y + -6) (9 * 0.5 + y * 0.5) = 2(y + -6) (4.5 + 0.5y) = 2(y + -6) Reorder the terms: 4.5 + 0.5y = 2(-6 + y) 4.5 + 0.5y = (-6 * 2 + y * 2) 4.5 + 0.5y = (-12 + 2y) Solving 4.5 + 0.5y = -12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 4.5 + 0.5y + -2y = -12 + 2y + -2y Combine like terms: 0.5y + -2y = -1.5y 4.5 + -1.5y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 4.5 + -1.5y = -12 + 0 4.5 + -1.5y = -12 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -1.5y = -12 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1.5y = -12 + -4.5 -1.5y = -12 + -4.5 Combine like terms: -12 + -4.5 = -16.5 -1.5y = -16.5 Divide each side by '-1.5'. y = 11 Simplifying y = 11
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