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Simplifying -4y + 9(5y + -4) = 5 + 1(-7 + -1y) Reorder the terms: -4y + 9(-4 + 5y) = 5 + 1(-7 + -1y) -4y + (-4 * 9 + 5y * 9) = 5 + 1(-7 + -1y) -4y + (-36 + 45y) = 5 + 1(-7 + -1y) Reorder the terms: -36 + -4y + 45y = 5 + 1(-7 + -1y) Combine like terms: -4y + 45y = 41y -36 + 41y = 5 + 1(-7 + -1y) -36 + 41y = 5 + (-7 * 1 + -1y * 1) -36 + 41y = 5 + (-7 + -1y) Combine like terms: 5 + -7 = -2 -36 + 41y = -2 + -1y Solving -36 + 41y = -2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -36 + 41y + y = -2 + -1y + y Combine like terms: 41y + y = 42y -36 + 42y = -2 + -1y + y Combine like terms: -1y + y = 0 -36 + 42y = -2 + 0 -36 + 42y = -2 Add '36' to each side of the equation. -36 + 36 + 42y = -2 + 36 Combine like terms: -36 + 36 = 0 0 + 42y = -2 + 36 42y = -2 + 36 Combine like terms: -2 + 36 = 34 42y = 34 Divide each side by '42'. y = 0.8095238095 Simplifying y = 0.8095238095
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