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Simplifying -4(2y + -1) + 9y = 7(y + 1) Reorder the terms: -4(-1 + 2y) + 9y = 7(y + 1) (-1 * -4 + 2y * -4) + 9y = 7(y + 1) (4 + -8y) + 9y = 7(y + 1) Combine like terms: -8y + 9y = 1y 4 + 1y = 7(y + 1) Reorder the terms: 4 + 1y = 7(1 + y) 4 + 1y = (1 * 7 + y * 7) 4 + 1y = (7 + 7y) Solving 4 + 1y = 7 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 4 + 1y + -7y = 7 + 7y + -7y Combine like terms: 1y + -7y = -6y 4 + -6y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 4 + -6y = 7 + 0 4 + -6y = 7 Add '-4' to each side of the equation. 4 + -4 + -6y = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -6y = 7 + -4 -6y = 7 + -4 Combine like terms: 7 + -4 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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