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Simplifying -2y + 6(-9y + -8) = 1 + 4(6 + -1y) Reorder the terms: -2y + 6(-8 + -9y) = 1 + 4(6 + -1y) -2y + (-8 * 6 + -9y * 6) = 1 + 4(6 + -1y) -2y + (-48 + -54y) = 1 + 4(6 + -1y) Reorder the terms: -48 + -2y + -54y = 1 + 4(6 + -1y) Combine like terms: -2y + -54y = -56y -48 + -56y = 1 + 4(6 + -1y) -48 + -56y = 1 + (6 * 4 + -1y * 4) -48 + -56y = 1 + (24 + -4y) Combine like terms: 1 + 24 = 25 -48 + -56y = 25 + -4y Solving -48 + -56y = 25 + -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. -48 + -56y + 4y = 25 + -4y + 4y Combine like terms: -56y + 4y = -52y -48 + -52y = 25 + -4y + 4y Combine like terms: -4y + 4y = 0 -48 + -52y = 25 + 0 -48 + -52y = 25 Add '48' to each side of the equation. -48 + 48 + -52y = 25 + 48 Combine like terms: -48 + 48 = 0 0 + -52y = 25 + 48 -52y = 25 + 48 Combine like terms: 25 + 48 = 73 -52y = 73 Divide each side by '-52'. y = -1.403846154 Simplifying y = -1.403846154
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