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Simplifying 8(y + -4) = 6(y + -8) Reorder the terms: 8(-4 + y) = 6(y + -8) (-4 * 8 + y * 8) = 6(y + -8) (-32 + 8y) = 6(y + -8) Reorder the terms: -32 + 8y = 6(-8 + y) -32 + 8y = (-8 * 6 + y * 6) -32 + 8y = (-48 + 6y) Solving -32 + 8y = -48 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -32 + 8y + -6y = -48 + 6y + -6y Combine like terms: 8y + -6y = 2y -32 + 2y = -48 + 6y + -6y Combine like terms: 6y + -6y = 0 -32 + 2y = -48 + 0 -32 + 2y = -48 Add '32' to each side of the equation. -32 + 32 + 2y = -48 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = -48 + 32 2y = -48 + 32 Combine like terms: -48 + 32 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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