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Simplifying 6y + -1(8 + y) = 4(y + -2) + 5 6y + (8 * -1 + y * -1) = 4(y + -2) + 5 6y + (-8 + -1y) = 4(y + -2) + 5 Reorder the terms: -8 + 6y + -1y = 4(y + -2) + 5 Combine like terms: 6y + -1y = 5y -8 + 5y = 4(y + -2) + 5 Reorder the terms: -8 + 5y = 4(-2 + y) + 5 -8 + 5y = (-2 * 4 + y * 4) + 5 -8 + 5y = (-8 + 4y) + 5 Reorder the terms: -8 + 5y = -8 + 5 + 4y Combine like terms: -8 + 5 = -3 -8 + 5y = -3 + 4y Solving -8 + 5y = -3 + 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 + 5y + -4y = -3 + 4y + -4y Combine like terms: 5y + -4y = 1y -8 + 1y = -3 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + 1y = -3 + 0 -8 + 1y = -3 Add '8' to each side of the equation. -8 + 8 + 1y = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 1y = -3 + 8 1y = -3 + 8 Combine like terms: -3 + 8 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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