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Simplifying 5y + -10(46 + 6y) = 35 5y + (46 * -10 + 6y * -10) = 35 5y + (-460 + -60y) = 35 Reorder the terms: -460 + 5y + -60y = 35 Combine like terms: 5y + -60y = -55y -460 + -55y = 35 Solving -460 + -55y = 35 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '460' to each side of the equation. -460 + 460 + -55y = 35 + 460 Combine like terms: -460 + 460 = 0 0 + -55y = 35 + 460 -55y = 35 + 460 Combine like terms: 35 + 460 = 495 -55y = 495 Divide each side by '-55'. y = -9 Simplifying y = -9
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