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Simplifying -5y + 2 = 10 + -4y Reorder the terms: 2 + -5y = 10 + -4y Solving 2 + -5y = 10 + -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. 2 + -5y + 4y = 10 + -4y + 4y Combine like terms: -5y + 4y = -1y 2 + -1y = 10 + -4y + 4y Combine like terms: -4y + 4y = 0 2 + -1y = 10 + 0 2 + -1y = 10 Add '-2' to each side of the equation. 2 + -2 + -1y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 10 + -2 -1y = 10 + -2 Combine like terms: 10 + -2 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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