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Simplifying 3y + -10 = -46 + 7y Reorder the terms: -10 + 3y = -46 + 7y Solving -10 + 3y = -46 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -10 + 3y + -7y = -46 + 7y + -7y Combine like terms: 3y + -7y = -4y -10 + -4y = -46 + 7y + -7y Combine like terms: 7y + -7y = 0 -10 + -4y = -46 + 0 -10 + -4y = -46 Add '10' to each side of the equation. -10 + 10 + -4y = -46 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = -46 + 10 -4y = -46 + 10 Combine like terms: -46 + 10 = -36 -4y = -36 Divide each side by '-4'. y = 9 Simplifying y = 9
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