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Simplifying 1 + -4(-5y + 1) = 7(4y + 4) + 5 Reorder the terms: 1 + -4(1 + -5y) = 7(4y + 4) + 5 1 + (1 * -4 + -5y * -4) = 7(4y + 4) + 5 1 + (-4 + 20y) = 7(4y + 4) + 5 Combine like terms: 1 + -4 = -3 -3 + 20y = 7(4y + 4) + 5 Reorder the terms: -3 + 20y = 7(4 + 4y) + 5 -3 + 20y = (4 * 7 + 4y * 7) + 5 -3 + 20y = (28 + 28y) + 5 Reorder the terms: -3 + 20y = 28 + 5 + 28y Combine like terms: 28 + 5 = 33 -3 + 20y = 33 + 28y Solving -3 + 20y = 33 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. -3 + 20y + -28y = 33 + 28y + -28y Combine like terms: 20y + -28y = -8y -3 + -8y = 33 + 28y + -28y Combine like terms: 28y + -28y = 0 -3 + -8y = 33 + 0 -3 + -8y = 33 Add '3' to each side of the equation. -3 + 3 + -8y = 33 + 3 Combine like terms: -3 + 3 = 0 0 + -8y = 33 + 3 -8y = 33 + 3 Combine like terms: 33 + 3 = 36 -8y = 36 Divide each side by '-8'. y = -4.5 Simplifying y = -4.5
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