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Simplifying 2 + -1(5y + 8) = 4[(9y + -8) + -1(y + -6)] Reorder the terms: 2 + -1(8 + 5y) = 4[(9y + -8) + -1(y + -6)] 2 + (8 * -1 + 5y * -1) = 4[(9y + -8) + -1(y + -6)] 2 + (-8 + -5y) = 4[(9y + -8) + -1(y + -6)] Combine like terms: 2 + -8 = -6 -6 + -5y = 4[(9y + -8) + -1(y + -6)] Reorder the terms: -6 + -5y = 4[(-8 + 9y) + -1(y + -6)] Remove parenthesis around (-8 + 9y) -6 + -5y = 4[-8 + 9y + -1(y + -6)] Reorder the terms: -6 + -5y = 4[-8 + 9y + -1(-6 + y)] -6 + -5y = 4[-8 + 9y + (-6 * -1 + y * -1)] -6 + -5y = 4[-8 + 9y + (6 + -1y)] Reorder the terms: -6 + -5y = 4[-8 + 6 + 9y + -1y] Combine like terms: -8 + 6 = -2 -6 + -5y = 4[-2 + 9y + -1y] Combine like terms: 9y + -1y = 8y -6 + -5y = 4[-2 + 8y] -6 + -5y = [-2 * 4 + 8y * 4] -6 + -5y = [-8 + 32y] Solving -6 + -5y = -8 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. -6 + -5y + -32y = -8 + 32y + -32y Combine like terms: -5y + -32y = -37y -6 + -37y = -8 + 32y + -32y Combine like terms: 32y + -32y = 0 -6 + -37y = -8 + 0 -6 + -37y = -8 Add '6' to each side of the equation. -6 + 6 + -37y = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -37y = -8 + 6 -37y = -8 + 6 Combine like terms: -8 + 6 = -2 -37y = -2 Divide each side by '-37'. y = 0.05405405405 Simplifying y = 0.05405405405
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