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Simplifying 7(-3y + 2) = 8(8 + 7y) Reorder the terms: 7(2 + -3y) = 8(8 + 7y) (2 * 7 + -3y * 7) = 8(8 + 7y) (14 + -21y) = 8(8 + 7y) 14 + -21y = (8 * 8 + 7y * 8) 14 + -21y = (64 + 56y) Solving 14 + -21y = 64 + 56y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-56y' to each side of the equation. 14 + -21y + -56y = 64 + 56y + -56y Combine like terms: -21y + -56y = -77y 14 + -77y = 64 + 56y + -56y Combine like terms: 56y + -56y = 0 14 + -77y = 64 + 0 14 + -77y = 64 Add '-14' to each side of the equation. 14 + -14 + -77y = 64 + -14 Combine like terms: 14 + -14 = 0 0 + -77y = 64 + -14 -77y = 64 + -14 Combine like terms: 64 + -14 = 50 -77y = 50 Divide each side by '-77'. y = -0.6493506494 Simplifying y = -0.6493506494
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