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Simplifying (5y + -2) + -1(3y + 8) = 0 Reorder the terms: (-2 + 5y) + -1(3y + 8) = 0 Remove parenthesis around (-2 + 5y) -2 + 5y + -1(3y + 8) = 0 Reorder the terms: -2 + 5y + -1(8 + 3y) = 0 -2 + 5y + (8 * -1 + 3y * -1) = 0 -2 + 5y + (-8 + -3y) = 0 Reorder the terms: -2 + -8 + 5y + -3y = 0 Combine like terms: -2 + -8 = -10 -10 + 5y + -3y = 0 Combine like terms: 5y + -3y = 2y -10 + 2y = 0 Solving -10 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2y = 0 + 10 2y = 0 + 10 Combine like terms: 0 + 10 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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