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Simplifying 75 = (3y + 1) + (12y + -4) Reorder the terms: 75 = (1 + 3y) + (12y + -4) Remove parenthesis around (1 + 3y) 75 = 1 + 3y + (12y + -4) Reorder the terms: 75 = 1 + 3y + (-4 + 12y) Remove parenthesis around (-4 + 12y) 75 = 1 + 3y + -4 + 12y Reorder the terms: 75 = 1 + -4 + 3y + 12y Combine like terms: 1 + -4 = -3 75 = -3 + 3y + 12y Combine like terms: 3y + 12y = 15y 75 = -3 + 15y Solving 75 = -3 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 75 + -15y = -3 + 15y + -15y Combine like terms: 15y + -15y = 0 75 + -15y = -3 + 0 75 + -15y = -3 Add '-75' to each side of the equation. 75 + -75 + -15y = -3 + -75 Combine like terms: 75 + -75 = 0 0 + -15y = -3 + -75 -15y = -3 + -75 Combine like terms: -3 + -75 = -78 -15y = -78 Divide each side by '-15'. y = 5.2 Simplifying y = 5.2
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