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Simplifying 7 = 4[5 + -1(2y + -3)] Reorder the terms: 7 = 4[5 + -1(-3 + 2y)] 7 = 4[5 + (-3 * -1 + 2y * -1)] 7 = 4[5 + (3 + -2y)] Combine like terms: 5 + 3 = 8 7 = 4[8 + -2y] 7 = [8 * 4 + -2y * 4] 7 = [32 + -8y] Solving 7 = 32 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 7 + 8y = 32 + -8y + 8y Combine like terms: -8y + 8y = 0 7 + 8y = 32 + 0 7 + 8y = 32 Add '-7' to each side of the equation. 7 + -7 + 8y = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 32 + -7 8y = 32 + -7 Combine like terms: 32 + -7 = 25 8y = 25 Divide each side by '8'. y = 3.125 Simplifying y = 3.125
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