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Simplifying -6y + -2 = -8(y + -4) Reorder the terms: -2 + -6y = -8(y + -4) Reorder the terms: -2 + -6y = -8(-4 + y) -2 + -6y = (-4 * -8 + y * -8) -2 + -6y = (32 + -8y) Solving -2 + -6y = 32 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -2 + -6y + 8y = 32 + -8y + 8y Combine like terms: -6y + 8y = 2y -2 + 2y = 32 + -8y + 8y Combine like terms: -8y + 8y = 0 -2 + 2y = 32 + 0 -2 + 2y = 32 Add '2' to each side of the equation. -2 + 2 + 2y = 32 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 32 + 2 2y = 32 + 2 Combine like terms: 32 + 2 = 34 2y = 34 Divide each side by '2'. y = 17 Simplifying y = 17
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