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Simplifying 14y + 8 = 8(2y + -1) Reorder the terms: 8 + 14y = 8(2y + -1) Reorder the terms: 8 + 14y = 8(-1 + 2y) 8 + 14y = (-1 * 8 + 2y * 8) 8 + 14y = (-8 + 16y) Solving 8 + 14y = -8 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 8 + 14y + -16y = -8 + 16y + -16y Combine like terms: 14y + -16y = -2y 8 + -2y = -8 + 16y + -16y Combine like terms: 16y + -16y = 0 8 + -2y = -8 + 0 8 + -2y = -8 Add '-8' to each side of the equation. 8 + -8 + -2y = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = -8 + -8 -2y = -8 + -8 Combine like terms: -8 + -8 = -16 -2y = -16 Divide each side by '-2'. y = 8 Simplifying y = 8
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