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Simplifying 4(2y + 1) + -3(1 + 4y) = 20 Reorder the terms: 4(1 + 2y) + -3(1 + 4y) = 20 (1 * 4 + 2y * 4) + -3(1 + 4y) = 20 (4 + 8y) + -3(1 + 4y) = 20 4 + 8y + (1 * -3 + 4y * -3) = 20 4 + 8y + (-3 + -12y) = 20 Reorder the terms: 4 + -3 + 8y + -12y = 20 Combine like terms: 4 + -3 = 1 1 + 8y + -12y = 20 Combine like terms: 8y + -12y = -4y 1 + -4y = 20 Solving 1 + -4y = 20 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4y = 20 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 20 + -1 -4y = 20 + -1 Combine like terms: 20 + -1 = 19 -4y = 19 Divide each side by '-4'. y = -4.75 Simplifying y = -4.75
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