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Simplifying -2(y + 4) = 16(x + 2) + 6y Reorder the terms: -2(4 + y) = 16(x + 2) + 6y (4 * -2 + y * -2) = 16(x + 2) + 6y (-8 + -2y) = 16(x + 2) + 6y Reorder the terms: -8 + -2y = 16(2 + x) + 6y -8 + -2y = (2 * 16 + x * 16) + 6y -8 + -2y = (32 + 16x) + 6y Solving -8 + -2y = 32 + 16x + 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. -8 + -2y + -6y = 32 + 16x + 6y + -6y Combine like terms: -2y + -6y = -8y -8 + -8y = 32 + 16x + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -8y = 32 + 16x + 0 -8 + -8y = 32 + 16x Add '8' to each side of the equation. -8 + 8 + -8y = 32 + 8 + 16x Combine like terms: -8 + 8 = 0 0 + -8y = 32 + 8 + 16x -8y = 32 + 8 + 16x Combine like terms: 32 + 8 = 40 -8y = 40 + 16x Divide each side by '-8'. y = -5 + -2x Simplifying y = -5 + -2x
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