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Simplifying 3y + -4(y + 1) = -1(7y + 4) + y Reorder the terms: 3y + -4(1 + y) = -1(7y + 4) + y 3y + (1 * -4 + y * -4) = -1(7y + 4) + y 3y + (-4 + -4y) = -1(7y + 4) + y Reorder the terms: -4 + 3y + -4y = -1(7y + 4) + y Combine like terms: 3y + -4y = -1y -4 + -1y = -1(7y + 4) + y Reorder the terms: -4 + -1y = -1(4 + 7y) + y -4 + -1y = (4 * -1 + 7y * -1) + y -4 + -1y = (-4 + -7y) + y Combine like terms: -7y + y = -6y -4 + -1y = -4 + -6y Add '4' to each side of the equation. -4 + 4 + -1y = -4 + 4 + -6y Combine like terms: -4 + 4 = 0 0 + -1y = -4 + 4 + -6y -1y = -4 + 4 + -6y Combine like terms: -4 + 4 = 0 -1y = 0 + -6y -1y = -6y Solving -1y = -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -1y + 6y = -6y + 6y Combine like terms: -1y + 6y = 5y 5y = -6y + 6y Combine like terms: -6y + 6y = 0 5y = 0 Divide each side by '5'. y = 0 Simplifying y = 0
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