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Simplifying 8 * 4 = [y + 7] + -1[y * 3] Multiply 8 * 4 32 = [y + 7] + -1[y * 3] Reorder the terms: 32 = [7 + y] + -1[y * 3] Remove brackets around [7 + y] 32 = 7 + y + -1[y * 3] Reorder the terms for easier multiplication: 32 = 7 + y + -1[3y] Remove brackets around [3y] 32 = 7 + y + -1 * 3y Multiply -1 * 3 32 = 7 + y + -3y Combine like terms: y + -3y = -2y 32 = 7 + -2y Solving 32 = 7 + -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. 32 + 2y = 7 + -2y + 2y Combine like terms: -2y + 2y = 0 32 + 2y = 7 + 0 32 + 2y = 7 Add '-32' to each side of the equation. 32 + -32 + 2y = 7 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 7 + -32 2y = 7 + -32 Combine like terms: 7 + -32 = -25 2y = -25 Divide each side by '2'. y = -12.5 Simplifying y = -12.5
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