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