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Simplifying 5y + 2(2y + 5) = 12y + -13 Reorder the terms: 5y + 2(5 + 2y) = 12y + -13 5y + (5 * 2 + 2y * 2) = 12y + -13 5y + (10 + 4y) = 12y + -13 Reorder the terms: 10 + 5y + 4y = 12y + -13 Combine like terms: 5y + 4y = 9y 10 + 9y = 12y + -13 Reorder the terms: 10 + 9y = -13 + 12y Solving 10 + 9y = -13 + 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 + 9y + -12y = -13 + 12y + -12y Combine like terms: 9y + -12y = -3y 10 + -3y = -13 + 12y + -12y Combine like terms: 12y + -12y = 0 10 + -3y = -13 + 0 10 + -3y = -13 Add '-10' to each side of the equation. 10 + -10 + -3y = -13 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = -13 + -10 -3y = -13 + -10 Combine like terms: -13 + -10 = -23 -3y = -23 Divide each side by '-3'. y = 7.666666667 Simplifying y = 7.666666667
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