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Simplifying 7 + 3y + -5 = -1 + 2y + -12 + 2y Reorder the terms: 7 + -5 + 3y = -1 + 2y + -12 + 2y Combine like terms: 7 + -5 = 2 2 + 3y = -1 + 2y + -12 + 2y Reorder the terms: 2 + 3y = -1 + -12 + 2y + 2y Combine like terms: -1 + -12 = -13 2 + 3y = -13 + 2y + 2y Combine like terms: 2y + 2y = 4y 2 + 3y = -13 + 4y Solving 2 + 3y = -13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + 3y + -4y = -13 + 4y + -4y Combine like terms: 3y + -4y = -1y 2 + -1y = -13 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + -1y = -13 + 0 2 + -1y = -13 Add '-2' to each side of the equation. 2 + -2 + -1y = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = -13 + -2 -1y = -13 + -2 Combine like terms: -13 + -2 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15
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