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Simplifying 8(2y + 1) = 3(7y + -4) Reorder the terms: 8(1 + 2y) = 3(7y + -4) (1 * 8 + 2y * 8) = 3(7y + -4) (8 + 16y) = 3(7y + -4) Reorder the terms: 8 + 16y = 3(-4 + 7y) 8 + 16y = (-4 * 3 + 7y * 3) 8 + 16y = (-12 + 21y) Solving 8 + 16y = -12 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. 8 + 16y + -21y = -12 + 21y + -21y Combine like terms: 16y + -21y = -5y 8 + -5y = -12 + 21y + -21y Combine like terms: 21y + -21y = 0 8 + -5y = -12 + 0 8 + -5y = -12 Add '-8' to each side of the equation. 8 + -8 + -5y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = -12 + -8 -5y = -12 + -8 Combine like terms: -12 + -8 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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