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Simplifying 1 + -5(3y + 2) + 3(4 + y) = -12 Reorder the terms: 1 + -5(2 + 3y) + 3(4 + y) = -12 1 + (2 * -5 + 3y * -5) + 3(4 + y) = -12 1 + (-10 + -15y) + 3(4 + y) = -12 1 + -10 + -15y + (4 * 3 + y * 3) = -12 1 + -10 + -15y + (12 + 3y) = -12 Reorder the terms: 1 + -10 + 12 + -15y + 3y = -12 Combine like terms: 1 + -10 = -9 -9 + 12 + -15y + 3y = -12 Combine like terms: -9 + 12 = 3 3 + -15y + 3y = -12 Combine like terms: -15y + 3y = -12y 3 + -12y = -12 Solving 3 + -12y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -12y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -12y = -12 + -3 -12y = -12 + -3 Combine like terms: -12 + -3 = -15 -12y = -15 Divide each side by '-12'. y = 1.25 Simplifying y = 1.25
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