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Simplifying 4 + -1(7y + 8) = 6[(9y + -8) + -1(y + -7)] Reorder the terms: 4 + -1(8 + 7y) = 6[(9y + -8) + -1(y + -7)] 4 + (8 * -1 + 7y * -1) = 6[(9y + -8) + -1(y + -7)] 4 + (-8 + -7y) = 6[(9y + -8) + -1(y + -7)] Combine like terms: 4 + -8 = -4 -4 + -7y = 6[(9y + -8) + -1(y + -7)] Reorder the terms: -4 + -7y = 6[(-8 + 9y) + -1(y + -7)] Remove parenthesis around (-8 + 9y) -4 + -7y = 6[-8 + 9y + -1(y + -7)] Reorder the terms: -4 + -7y = 6[-8 + 9y + -1(-7 + y)] -4 + -7y = 6[-8 + 9y + (-7 * -1 + y * -1)] -4 + -7y = 6[-8 + 9y + (7 + -1y)] Reorder the terms: -4 + -7y = 6[-8 + 7 + 9y + -1y] Combine like terms: -8 + 7 = -1 -4 + -7y = 6[-1 + 9y + -1y] Combine like terms: 9y + -1y = 8y -4 + -7y = 6[-1 + 8y] -4 + -7y = [-1 * 6 + 8y * 6] -4 + -7y = [-6 + 48y] Solving -4 + -7y = -6 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. -4 + -7y + -48y = -6 + 48y + -48y Combine like terms: -7y + -48y = -55y -4 + -55y = -6 + 48y + -48y Combine like terms: 48y + -48y = 0 -4 + -55y = -6 + 0 -4 + -55y = -6 Add '4' to each side of the equation. -4 + 4 + -55y = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -55y = -6 + 4 -55y = -6 + 4 Combine like terms: -6 + 4 = -2 -55y = -2 Divide each side by '-55'. y = 0.03636363636 Simplifying y = 0.03636363636
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