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