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