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Simplifying 8(y + -2) = 4.5(y + -2) Reorder the terms: 8(-2 + y) = 4.5(y + -2) (-2 * 8 + y * 8) = 4.5(y + -2) (-16 + 8y) = 4.5(y + -2) Reorder the terms: -16 + 8y = 4.5(-2 + y) -16 + 8y = (-2 * 4.5 + y * 4.5) -16 + 8y = (-9 + 4.5y) Solving -16 + 8y = -9 + 4.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4.5y' to each side of the equation. -16 + 8y + -4.5y = -9 + 4.5y + -4.5y Combine like terms: 8y + -4.5y = 3.5y -16 + 3.5y = -9 + 4.5y + -4.5y Combine like terms: 4.5y + -4.5y = 0.0 -16 + 3.5y = -9 + 0.0 -16 + 3.5y = -9 Add '16' to each side of the equation. -16 + 16 + 3.5y = -9 + 16 Combine like terms: -16 + 16 = 0 0 + 3.5y = -9 + 16 3.5y = -9 + 16 Combine like terms: -9 + 16 = 7 3.5y = 7 Divide each side by '3.5'. y = 2 Simplifying y = 2
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