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Simplifying -5y + -30 = 3y + 10 Reorder the terms: -30 + -5y = 3y + 10 Reorder the terms: -30 + -5y = 10 + 3y Solving -30 + -5y = 10 + 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. -30 + -5y + -3y = 10 + 3y + -3y Combine like terms: -5y + -3y = -8y -30 + -8y = 10 + 3y + -3y Combine like terms: 3y + -3y = 0 -30 + -8y = 10 + 0 -30 + -8y = 10 Add '30' to each side of the equation. -30 + 30 + -8y = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -8y = 10 + 30 -8y = 10 + 30 Combine like terms: 10 + 30 = 40 -8y = 40 Divide each side by '-8'. y = -5 Simplifying y = -5
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