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Simplifying 3y + -7(y + 5) = y + -35 Reorder the terms: 3y + -7(5 + y) = y + -35 3y + (5 * -7 + y * -7) = y + -35 3y + (-35 + -7y) = y + -35 Reorder the terms: -35 + 3y + -7y = y + -35 Combine like terms: 3y + -7y = -4y -35 + -4y = y + -35 Reorder the terms: -35 + -4y = -35 + y Add '35' to each side of the equation. -35 + 35 + -4y = -35 + 35 + y Combine like terms: -35 + 35 = 0 0 + -4y = -35 + 35 + y -4y = -35 + 35 + y Combine like terms: -35 + 35 = 0 -4y = 0 + y -4y = y Solving -4y = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -4y + -1y = y + -1y Combine like terms: -4y + -1y = -5y -5y = y + -1y Combine like terms: y + -1y = 0 -5y = 0 Divide each side by '-5'. y = 0 Simplifying y = 0
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