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Simplifying 0.5(7y + -6) = 2(2y + 1) Reorder the terms: 0.5(-6 + 7y) = 2(2y + 1) (-6 * 0.5 + 7y * 0.5) = 2(2y + 1) (-3 + 3.5y) = 2(2y + 1) Reorder the terms: -3 + 3.5y = 2(1 + 2y) -3 + 3.5y = (1 * 2 + 2y * 2) -3 + 3.5y = (2 + 4y) Solving -3 + 3.5y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -3 + 3.5y + -4y = 2 + 4y + -4y Combine like terms: 3.5y + -4y = -0.5y -3 + -0.5y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -3 + -0.5y = 2 + 0 -3 + -0.5y = 2 Add '3' to each side of the equation. -3 + 3 + -0.5y = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -0.5y = 2 + 3 -0.5y = 2 + 3 Combine like terms: 2 + 3 = 5 -0.5y = 5 Divide each side by '-0.5'. y = -10 Simplifying y = -10
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