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Simplifying -4y + 8 = 5y + -10 Reorder the terms: 8 + -4y = 5y + -10 Reorder the terms: 8 + -4y = -10 + 5y Solving 8 + -4y = -10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 8 + -4y + -5y = -10 + 5y + -5y Combine like terms: -4y + -5y = -9y 8 + -9y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -9y = -10 + 0 8 + -9y = -10 Add '-8' to each side of the equation. 8 + -8 + -9y = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = -10 + -8 -9y = -10 + -8 Combine like terms: -10 + -8 = -18 -9y = -18 Divide each side by '-9'. y = 2 Simplifying y = 2
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