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Simplifying -4 + 13y + 7 = 15 + 16y + -30 Reorder the terms: -4 + 7 + 13y = 15 + 16y + -30 Combine like terms: -4 + 7 = 3 3 + 13y = 15 + 16y + -30 Reorder the terms: 3 + 13y = 15 + -30 + 16y Combine like terms: 15 + -30 = -15 3 + 13y = -15 + 16y Solving 3 + 13y = -15 + 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 = -15 + 16y + -16y Combine like terms: 13y + -16y = -3y 3 + -3y = -15 + 16y + -16y Combine like terms: 16y + -16y = 0 3 + -3y = -15 + 0 3 + -3y = -15 Add '-3' to each side of the equation. 3 + -3 + -3y = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = -15 + -3 -3y = -15 + -3 Combine like terms: -15 + -3 = -18 -3y = -18 Divide each side by '-3'. y = 6 Simplifying y = 6
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