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Simplifying 3 + -1(1 + -3y) = 4 + 7y 3 + (1 * -1 + -3y * -1) = 4 + 7y 3 + (-1 + 3y) = 4 + 7y Combine like terms: 3 + -1 = 2 2 + 3y = 4 + 7y Solving 2 + 3y = 4 + 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. 2 + 3y + -7y = 4 + 7y + -7y Combine like terms: 3y + -7y = -4y 2 + -4y = 4 + 7y + -7y Combine like terms: 7y + -7y = 0 2 + -4y = 4 + 0 2 + -4y = 4 Add '-2' to each side of the equation. 2 + -2 + -4y = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -4y = 4 + -2 -4y = 4 + -2 Combine like terms: 4 + -2 = 2 -4y = 2 Divide each side by '-4'. y = -0.5 Simplifying y = -0.5
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