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Simplifying 4(8 + y) = 6y + -6 (8 * 4 + y * 4) = 6y + -6 (32 + 4y) = 6y + -6 Reorder the terms: 32 + 4y = -6 + 6y Solving 32 + 4y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 32 + 4y + -6y = -6 + 6y + -6y Combine like terms: 4y + -6y = -2y 32 + -2y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 32 + -2y = -6 + 0 32 + -2y = -6 Add '-32' to each side of the equation. 32 + -32 + -2y = -6 + -32 Combine like terms: 32 + -32 = 0 0 + -2y = -6 + -32 -2y = -6 + -32 Combine like terms: -6 + -32 = -38 -2y = -38 Divide each side by '-2'. y = 19 Simplifying y = 19
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