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Simplifying 3y + -7(y + 5) = y + -75 Reorder the terms: 3y + -7(5 + y) = y + -75 3y + (5 * -7 + y * -7) = y + -75 3y + (-35 + -7y) = y + -75 Reorder the terms: -35 + 3y + -7y = y + -75 Combine like terms: 3y + -7y = -4y -35 + -4y = y + -75 Reorder the terms: -35 + -4y = -75 + y Solving -35 + -4y = -75 + 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. -35 + -4y + -1y = -75 + y + -1y Combine like terms: -4y + -1y = -5y -35 + -5y = -75 + y + -1y Combine like terms: y + -1y = 0 -35 + -5y = -75 + 0 -35 + -5y = -75 Add '35' to each side of the equation. -35 + 35 + -5y = -75 + 35 Combine like terms: -35 + 35 = 0 0 + -5y = -75 + 35 -5y = -75 + 35 Combine like terms: -75 + 35 = -40 -5y = -40 Divide each side by '-5'. y = 8 Simplifying y = 8
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