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Simplifying -2y + -8(-2y + 9) = 6 + 7(8 + -1y) Reorder the terms: -2y + -8(9 + -2y) = 6 + 7(8 + -1y) -2y + (9 * -8 + -2y * -8) = 6 + 7(8 + -1y) -2y + (-72 + 16y) = 6 + 7(8 + -1y) Reorder the terms: -72 + -2y + 16y = 6 + 7(8 + -1y) Combine like terms: -2y + 16y = 14y -72 + 14y = 6 + 7(8 + -1y) -72 + 14y = 6 + (8 * 7 + -1y * 7) -72 + 14y = 6 + (56 + -7y) Combine like terms: 6 + 56 = 62 -72 + 14y = 62 + -7y Solving -72 + 14y = 62 + -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. -72 + 14y + 7y = 62 + -7y + 7y Combine like terms: 14y + 7y = 21y -72 + 21y = 62 + -7y + 7y Combine like terms: -7y + 7y = 0 -72 + 21y = 62 + 0 -72 + 21y = 62 Add '72' to each side of the equation. -72 + 72 + 21y = 62 + 72 Combine like terms: -72 + 72 = 0 0 + 21y = 62 + 72 21y = 62 + 72 Combine like terms: 62 + 72 = 134 21y = 134 Divide each side by '21'. y = 6.380952381 Simplifying y = 6.380952381
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