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