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Simplifying 4(5y + -8) = 7(x + -9) + 34 Reorder the terms: 4(-8 + 5y) = 7(x + -9) + 34 (-8 * 4 + 5y * 4) = 7(x + -9) + 34 (-32 + 20y) = 7(x + -9) + 34 Reorder the terms: -32 + 20y = 7(-9 + x) + 34 -32 + 20y = (-9 * 7 + x * 7) + 34 -32 + 20y = (-63 + 7x) + 34 Reorder the terms: -32 + 20y = -63 + 34 + 7x Combine like terms: -63 + 34 = -29 -32 + 20y = -29 + 7x Solving -32 + 20y = -29 + 7x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 20y = -29 + 32 + 7x Combine like terms: -32 + 32 = 0 0 + 20y = -29 + 32 + 7x 20y = -29 + 32 + 7x Combine like terms: -29 + 32 = 3 20y = 3 + 7x Divide each side by '20'. y = 0.15 + 0.35x Simplifying y = 0.15 + 0.35x
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