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Simplifying 8(y + -8) + -1y = 6(-5 + -1y) Reorder the terms: 8(-8 + y) + -1y = 6(-5 + -1y) (-8 * 8 + y * 8) + -1y = 6(-5 + -1y) (-64 + 8y) + -1y = 6(-5 + -1y) Combine like terms: 8y + -1y = 7y -64 + 7y = 6(-5 + -1y) -64 + 7y = (-5 * 6 + -1y * 6) -64 + 7y = (-30 + -6y) Solving -64 + 7y = -30 + -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. -64 + 7y + 6y = -30 + -6y + 6y Combine like terms: 7y + 6y = 13y -64 + 13y = -30 + -6y + 6y Combine like terms: -6y + 6y = 0 -64 + 13y = -30 + 0 -64 + 13y = -30 Add '64' to each side of the equation. -64 + 64 + 13y = -30 + 64 Combine like terms: -64 + 64 = 0 0 + 13y = -30 + 64 13y = -30 + 64 Combine like terms: -30 + 64 = 34 13y = 34 Divide each side by '13'. y = 2.615384615 Simplifying y = 2.615384615
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