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Simplifying 8(y + -4) = (y + -8) + 6 Reorder the terms: 8(-4 + y) = (y + -8) + 6 (-4 * 8 + y * 8) = (y + -8) + 6 (-32 + 8y) = (y + -8) + 6 Reorder the terms: -32 + 8y = (-8 + y) + 6 Remove parenthesis around (-8 + y) -32 + 8y = -8 + y + 6 Reorder the terms: -32 + 8y = -8 + 6 + y Combine like terms: -8 + 6 = -2 -32 + 8y = -2 + y Solving -32 + 8y = -2 + y 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 + 8y + -1y = -2 + y + -1y Combine like terms: 8y + -1y = 7y -32 + 7y = -2 + y + -1y Combine like terms: y + -1y = 0 -32 + 7y = -2 + 0 -32 + 7y = -2 Add '32' to each side of the equation. -32 + 32 + 7y = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 7y = -2 + 32 7y = -2 + 32 Combine like terms: -2 + 32 = 30 7y = 30 Divide each side by '7'. y = 4.285714286 Simplifying y = 4.285714286
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