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Simplifying -5 + 13y + 8 = 16 + 16y + -34 Reorder the terms: -5 + 8 + 13y = 16 + 16y + -34 Combine like terms: -5 + 8 = 3 3 + 13y = 16 + 16y + -34 Reorder the terms: 3 + 13y = 16 + -34 + 16y Combine like terms: 16 + -34 = -18 3 + 13y = -18 + 16y Solving 3 + 13y = -18 + 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. 3 + 13y + -16y = -18 + 16y + -16y Combine like terms: 13y + -16y = -3y 3 + -3y = -18 + 16y + -16y Combine like terms: 16y + -16y = 0 3 + -3y = -18 + 0 3 + -3y = -18 Add '-3' to each side of the equation. 3 + -3 + -3y = -18 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = -18 + -3 -3y = -18 + -3 Combine like terms: -18 + -3 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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