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