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Simplifying 7y + 3[y + -2(y + 1)] + -5 = 0 Reorder the terms: 7y + 3[y + -2(1 + y)] + -5 = 0 7y + 3[y + (1 * -2 + y * -2)] + -5 = 0 7y + 3[y + (-2 + -2y)] + -5 = 0 Reorder the terms: 7y + 3[-2 + y + -2y] + -5 = 0 Combine like terms: y + -2y = -1y 7y + 3[-2 + -1y] + -5 = 0 7y + [-2 * 3 + -1y * 3] + -5 = 0 7y + [-6 + -3y] + -5 = 0 Reorder the terms: -6 + -5 + 7y + -3y = 0 Combine like terms: -6 + -5 = -11 -11 + 7y + -3y = 0 Combine like terms: 7y + -3y = 4y -11 + 4y = 0 Solving -11 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 4y = 0 + 11 4y = 0 + 11 Combine like terms: 0 + 11 = 11 4y = 11 Divide each side by '4'. y = 2.75 Simplifying y = 2.75
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