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Simplifying 2 + -3(y + 1) = -4y + 7 Reorder the terms: 2 + -3(1 + y) = -4y + 7 2 + (1 * -3 + y * -3) = -4y + 7 2 + (-3 + -3y) = -4y + 7 Combine like terms: 2 + -3 = -1 -1 + -3y = -4y + 7 Reorder the terms: -1 + -3y = 7 + -4y Solving -1 + -3y = 7 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -1 + -3y + 4y = 7 + -4y + 4y Combine like terms: -3y + 4y = 1y -1 + 1y = 7 + -4y + 4y Combine like terms: -4y + 4y = 0 -1 + 1y = 7 + 0 -1 + 1y = 7 Add '1' to each side of the equation. -1 + 1 + 1y = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 1y = 7 + 1 1y = 7 + 1 Combine like terms: 7 + 1 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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