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Simplifying -5y + 10 = 3y + -6 Reorder the terms: 10 + -5y = 3y + -6 Reorder the terms: 10 + -5y = -6 + 3y Solving 10 + -5y = -6 + 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. 10 + -5y + -3y = -6 + 3y + -3y Combine like terms: -5y + -3y = -8y 10 + -8y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + -8y = -6 + 0 10 + -8y = -6 Add '-10' to each side of the equation. 10 + -10 + -8y = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = -6 + -10 -8y = -6 + -10 Combine like terms: -6 + -10 = -16 -8y = -16 Divide each side by '-8'. y = 2 Simplifying y = 2
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