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Simplifying 7(5y + -4) + -1 = 14 + -8y Reorder the terms: 7(-4 + 5y) + -1 = 14 + -8y (-4 * 7 + 5y * 7) + -1 = 14 + -8y (-28 + 35y) + -1 = 14 + -8y Reorder the terms: -28 + -1 + 35y = 14 + -8y Combine like terms: -28 + -1 = -29 -29 + 35y = 14 + -8y Solving -29 + 35y = 14 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -29 + 35y + 8y = 14 + -8y + 8y Combine like terms: 35y + 8y = 43y -29 + 43y = 14 + -8y + 8y Combine like terms: -8y + 8y = 0 -29 + 43y = 14 + 0 -29 + 43y = 14 Add '29' to each side of the equation. -29 + 29 + 43y = 14 + 29 Combine like terms: -29 + 29 = 0 0 + 43y = 14 + 29 43y = 14 + 29 Combine like terms: 14 + 29 = 43 43y = 43 Divide each side by '43'. y = 1 Simplifying y = 1
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