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Simplifying 7(-3y + 2) = 8(8y + -2) Reorder the terms: 7(2 + -3y) = 8(8y + -2) (2 * 7 + -3y * 7) = 8(8y + -2) (14 + -21y) = 8(8y + -2) Reorder the terms: 14 + -21y = 8(-2 + 8y) 14 + -21y = (-2 * 8 + 8y * 8) 14 + -21y = (-16 + 64y) Solving 14 + -21y = -16 + 64y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-64y' to each side of the equation. 14 + -21y + -64y = -16 + 64y + -64y Combine like terms: -21y + -64y = -85y 14 + -85y = -16 + 64y + -64y Combine like terms: 64y + -64y = 0 14 + -85y = -16 + 0 14 + -85y = -16 Add '-14' to each side of the equation. 14 + -14 + -85y = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -85y = -16 + -14 -85y = -16 + -14 Combine like terms: -16 + -14 = -30 -85y = -30 Divide each side by '-85'. y = 0.3529411765 Simplifying y = 0.3529411765
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