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Simplifying -8 = -2y + 6(y + -8) Reorder the terms: -8 = -2y + 6(-8 + y) -8 = -2y + (-8 * 6 + y * 6) -8 = -2y + (-48 + 6y) Reorder the terms: -8 = -48 + -2y + 6y Combine like terms: -2y + 6y = 4y -8 = -48 + 4y Solving -8 = -48 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + -4y = -48 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + -4y = -48 + 0 -8 + -4y = -48 Add '8' to each side of the equation. -8 + 8 + -4y = -48 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = -48 + 8 -4y = -48 + 8 Combine like terms: -48 + 8 = -40 -4y = -40 Divide each side by '-4'. y = 10 Simplifying y = 10
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