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Simplifying 4(y + 7) = -44 + 2(y + 6) Reorder the terms: 4(7 + y) = -44 + 2(y + 6) (7 * 4 + y * 4) = -44 + 2(y + 6) (28 + 4y) = -44 + 2(y + 6) Reorder the terms: 28 + 4y = -44 + 2(6 + y) 28 + 4y = -44 + (6 * 2 + y * 2) 28 + 4y = -44 + (12 + 2y) Combine like terms: -44 + 12 = -32 28 + 4y = -32 + 2y Solving 28 + 4y = -32 + 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. 28 + 4y + -2y = -32 + 2y + -2y Combine like terms: 4y + -2y = 2y 28 + 2y = -32 + 2y + -2y Combine like terms: 2y + -2y = 0 28 + 2y = -32 + 0 28 + 2y = -32 Add '-28' to each side of the equation. 28 + -28 + 2y = -32 + -28 Combine like terms: 28 + -28 = 0 0 + 2y = -32 + -28 2y = -32 + -28 Combine like terms: -32 + -28 = -60 2y = -60 Divide each side by '2'. y = -30 Simplifying y = -30
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