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Simplifying 2(y + 16) = 6y + 44 + -2y Reorder the terms: 2(16 + y) = 6y + 44 + -2y (16 * 2 + y * 2) = 6y + 44 + -2y (32 + 2y) = 6y + 44 + -2y Reorder the terms: 32 + 2y = 44 + 6y + -2y Combine like terms: 6y + -2y = 4y 32 + 2y = 44 + 4y Solving 32 + 2y = 44 + 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 = 44 + 4y + -4y Combine like terms: 2y + -4y = -2y 32 + -2y = 44 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + -2y = 44 + 0 32 + -2y = 44 Add '-32' to each side of the equation. 32 + -32 + -2y = 44 + -32 Combine like terms: 32 + -32 = 0 0 + -2y = 44 + -32 -2y = 44 + -32 Combine like terms: 44 + -32 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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