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Simplifying -6y + 8(1y + 4) = 7 + 4(2 + -1y) Reorder the terms: -6y + 8(4 + 1y) = 7 + 4(2 + -1y) -6y + (4 * 8 + 1y * 8) = 7 + 4(2 + -1y) -6y + (32 + 8y) = 7 + 4(2 + -1y) Reorder the terms: 32 + -6y + 8y = 7 + 4(2 + -1y) Combine like terms: -6y + 8y = 2y 32 + 2y = 7 + 4(2 + -1y) 32 + 2y = 7 + (2 * 4 + -1y * 4) 32 + 2y = 7 + (8 + -4y) Combine like terms: 7 + 8 = 15 32 + 2y = 15 + -4y Solving 32 + 2y = 15 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 32 + 2y + 4y = 15 + -4y + 4y Combine like terms: 2y + 4y = 6y 32 + 6y = 15 + -4y + 4y Combine like terms: -4y + 4y = 0 32 + 6y = 15 + 0 32 + 6y = 15 Add '-32' to each side of the equation. 32 + -32 + 6y = 15 + -32 Combine like terms: 32 + -32 = 0 0 + 6y = 15 + -32 6y = 15 + -32 Combine like terms: 15 + -32 = -17 6y = -17 Divide each side by '6'. y = -2.833333333 Simplifying y = -2.833333333
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