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Simplifying 9y + -4 + -6y = 2[y + 1] + -5 Reorder the terms: -4 + 9y + -6y = 2[y + 1] + -5 Combine like terms: 9y + -6y = 3y -4 + 3y = 2[y + 1] + -5 Reorder the terms: -4 + 3y = 2[1 + y] + -5 -4 + 3y = [1 * 2 + y * 2] + -5 -4 + 3y = [2 + 2y] + -5 Reorder the terms: -4 + 3y = 2 + -5 + 2y Combine like terms: 2 + -5 = -3 -4 + 3y = -3 + 2y Solving -4 + 3y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -4 + 3y + -2y = -3 + 2y + -2y Combine like terms: 3y + -2y = 1y -4 + 1y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 1y = -3 + 0 -4 + 1y = -3 Add '4' to each side of the equation. -4 + 4 + 1y = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 1y = -3 + 4 1y = -3 + 4 Combine like terms: -3 + 4 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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