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Simplifying (3y + 1) = (4y + -12) Reorder the terms: (1 + 3y) = (4y + -12) Remove parenthesis around (1 + 3y) 1 + 3y = (4y + -12) Reorder the terms: 1 + 3y = (-12 + 4y) Remove parenthesis around (-12 + 4y) 1 + 3y = -12 + 4y Solving 1 + 3y = -12 + 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. 1 + 3y + -4y = -12 + 4y + -4y Combine like terms: 3y + -4y = -1y 1 + -1y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + -1y = -12 + 0 1 + -1y = -12 Add '-1' to each side of the equation. 1 + -1 + -1y = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = -12 + -1 -1y = -12 + -1 Combine like terms: -12 + -1 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13
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