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Simplifying 2(y + -8) = -6(7y + -4) + 4 Reorder the terms: 2(-8 + y) = -6(7y + -4) + 4 (-8 * 2 + y * 2) = -6(7y + -4) + 4 (-16 + 2y) = -6(7y + -4) + 4 Reorder the terms: -16 + 2y = -6(-4 + 7y) + 4 -16 + 2y = (-4 * -6 + 7y * -6) + 4 -16 + 2y = (24 + -42y) + 4 Reorder the terms: -16 + 2y = 24 + 4 + -42y Combine like terms: 24 + 4 = 28 -16 + 2y = 28 + -42y Solving -16 + 2y = 28 + -42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42y' to each side of the equation. -16 + 2y + 42y = 28 + -42y + 42y Combine like terms: 2y + 42y = 44y -16 + 44y = 28 + -42y + 42y Combine like terms: -42y + 42y = 0 -16 + 44y = 28 + 0 -16 + 44y = 28 Add '16' to each side of the equation. -16 + 16 + 44y = 28 + 16 Combine like terms: -16 + 16 = 0 0 + 44y = 28 + 16 44y = 28 + 16 Combine like terms: 28 + 16 = 44 44y = 44 Divide each side by '44'. y = 1 Simplifying y = 1
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