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Simplifying (-6y + -2) + 5(3 + 2.5y) = 0 Reorder the terms: (-2 + -6y) + 5(3 + 2.5y) = 0 Remove parenthesis around (-2 + -6y) -2 + -6y + 5(3 + 2.5y) = 0 -2 + -6y + (3 * 5 + 2.5y * 5) = 0 -2 + -6y + (15 + 12.5y) = 0 Reorder the terms: -2 + 15 + -6y + 12.5y = 0 Combine like terms: -2 + 15 = 13 13 + -6y + 12.5y = 0 Combine like terms: -6y + 12.5y = 6.5y 13 + 6.5y = 0 Solving 13 + 6.5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6.5y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6.5y = 0 + -13 6.5y = 0 + -13 Combine like terms: 0 + -13 = -13 6.5y = -13 Divide each side by '6.5'. y = -2 Simplifying y = -2
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