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