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Simplifying 8(2y + 4) = 4y + 1 + -3y Reorder the terms: 8(4 + 2y) = 4y + 1 + -3y (4 * 8 + 2y * 8) = 4y + 1 + -3y (32 + 16y) = 4y + 1 + -3y Reorder the terms: 32 + 16y = 1 + 4y + -3y Combine like terms: 4y + -3y = 1y 32 + 16y = 1 + 1y Solving 32 + 16y = 1 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 32 + 16y + -1y = 1 + 1y + -1y Combine like terms: 16y + -1y = 15y 32 + 15y = 1 + 1y + -1y Combine like terms: 1y + -1y = 0 32 + 15y = 1 + 0 32 + 15y = 1 Add '-32' to each side of the equation. 32 + -32 + 15y = 1 + -32 Combine like terms: 32 + -32 = 0 0 + 15y = 1 + -32 15y = 1 + -32 Combine like terms: 1 + -32 = -31 15y = -31 Divide each side by '15'. y = -2.066666667 Simplifying y = -2.066666667
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