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Simplifying -9 + -4(-2y + 2) = 6(2y + -5) + -8 Reorder the terms: -9 + -4(2 + -2y) = 6(2y + -5) + -8 -9 + (2 * -4 + -2y * -4) = 6(2y + -5) + -8 -9 + (-8 + 8y) = 6(2y + -5) + -8 Combine like terms: -9 + -8 = -17 -17 + 8y = 6(2y + -5) + -8 Reorder the terms: -17 + 8y = 6(-5 + 2y) + -8 -17 + 8y = (-5 * 6 + 2y * 6) + -8 -17 + 8y = (-30 + 12y) + -8 Reorder the terms: -17 + 8y = -30 + -8 + 12y Combine like terms: -30 + -8 = -38 -17 + 8y = -38 + 12y Solving -17 + 8y = -38 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -17 + 8y + -12y = -38 + 12y + -12y Combine like terms: 8y + -12y = -4y -17 + -4y = -38 + 12y + -12y Combine like terms: 12y + -12y = 0 -17 + -4y = -38 + 0 -17 + -4y = -38 Add '17' to each side of the equation. -17 + 17 + -4y = -38 + 17 Combine like terms: -17 + 17 = 0 0 + -4y = -38 + 17 -4y = -38 + 17 Combine like terms: -38 + 17 = -21 -4y = -21 Divide each side by '-4'. y = 5.25 Simplifying y = 5.25
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