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Simplifying 7 + 4(2y + -1) = 2y + 9 Reorder the terms: 7 + 4(-1 + 2y) = 2y + 9 7 + (-1 * 4 + 2y * 4) = 2y + 9 7 + (-4 + 8y) = 2y + 9 Combine like terms: 7 + -4 = 3 3 + 8y = 2y + 9 Reorder the terms: 3 + 8y = 9 + 2y Solving 3 + 8y = 9 + 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. 3 + 8y + -2y = 9 + 2y + -2y Combine like terms: 8y + -2y = 6y 3 + 6y = 9 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + 6y = 9 + 0 3 + 6y = 9 Add '-3' to each side of the equation. 3 + -3 + 6y = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 6y = 9 + -3 6y = 9 + -3 Combine like terms: 9 + -3 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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