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Simplifying -2y + 8(-7y + 3) = 2 + -7(7 + -1y) Reorder the terms: -2y + 8(3 + -7y) = 2 + -7(7 + -1y) -2y + (3 * 8 + -7y * 8) = 2 + -7(7 + -1y) -2y + (24 + -56y) = 2 + -7(7 + -1y) Reorder the terms: 24 + -2y + -56y = 2 + -7(7 + -1y) Combine like terms: -2y + -56y = -58y 24 + -58y = 2 + -7(7 + -1y) 24 + -58y = 2 + (7 * -7 + -1y * -7) 24 + -58y = 2 + (-49 + 7y) Combine like terms: 2 + -49 = -47 24 + -58y = -47 + 7y Solving 24 + -58y = -47 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 24 + -58y + -7y = -47 + 7y + -7y Combine like terms: -58y + -7y = -65y 24 + -65y = -47 + 7y + -7y Combine like terms: 7y + -7y = 0 24 + -65y = -47 + 0 24 + -65y = -47 Add '-24' to each side of the equation. 24 + -24 + -65y = -47 + -24 Combine like terms: 24 + -24 = 0 0 + -65y = -47 + -24 -65y = -47 + -24 Combine like terms: -47 + -24 = -71 -65y = -71 Divide each side by '-65'. y = 1.092307692 Simplifying y = 1.092307692
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