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Simplifying -2y + -6(9y + -5) = 4 + 2(-1 + -1y) Reorder the terms: -2y + -6(-5 + 9y) = 4 + 2(-1 + -1y) -2y + (-5 * -6 + 9y * -6) = 4 + 2(-1 + -1y) -2y + (30 + -54y) = 4 + 2(-1 + -1y) Reorder the terms: 30 + -2y + -54y = 4 + 2(-1 + -1y) Combine like terms: -2y + -54y = -56y 30 + -56y = 4 + 2(-1 + -1y) 30 + -56y = 4 + (-1 * 2 + -1y * 2) 30 + -56y = 4 + (-2 + -2y) Combine like terms: 4 + -2 = 2 30 + -56y = 2 + -2y Solving 30 + -56y = 2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 30 + -56y + 2y = 2 + -2y + 2y Combine like terms: -56y + 2y = -54y 30 + -54y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + -54y = 2 + 0 30 + -54y = 2 Add '-30' to each side of the equation. 30 + -30 + -54y = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -54y = 2 + -30 -54y = 2 + -30 Combine like terms: 2 + -30 = -28 -54y = -28 Divide each side by '-54'. y = 0.5185185185 Simplifying y = 0.5185185185
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