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Simplifying -3y + -10 = 5y + 22 Reorder the terms: -10 + -3y = 5y + 22 Reorder the terms: -10 + -3y = 22 + 5y Solving -10 + -3y = 22 + 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. -10 + -3y + -5y = 22 + 5y + -5y Combine like terms: -3y + -5y = -8y -10 + -8y = 22 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + -8y = 22 + 0 -10 + -8y = 22 Add '10' to each side of the equation. -10 + 10 + -8y = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -8y = 22 + 10 -8y = 22 + 10 Combine like terms: 22 + 10 = 32 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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