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Simplifying -5 + 12y + 9 = 15 + 16y + -19 Reorder the terms: -5 + 9 + 12y = 15 + 16y + -19 Combine like terms: -5 + 9 = 4 4 + 12y = 15 + 16y + -19 Reorder the terms: 4 + 12y = 15 + -19 + 16y Combine like terms: 15 + -19 = -4 4 + 12y = -4 + 16y Solving 4 + 12y = -4 + 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. 4 + 12y + -16y = -4 + 16y + -16y Combine like terms: 12y + -16y = -4y 4 + -4y = -4 + 16y + -16y Combine like terms: 16y + -16y = 0 4 + -4y = -4 + 0 4 + -4y = -4 Add '-4' to each side of the equation. 4 + -4 + -4y = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -4y = -4 + -4 -4y = -4 + -4 Combine like terms: -4 + -4 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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