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Simplifying -5 + 12y + 10 = 14 + 15y + -21 Reorder the terms: -5 + 10 + 12y = 14 + 15y + -21 Combine like terms: -5 + 10 = 5 5 + 12y = 14 + 15y + -21 Reorder the terms: 5 + 12y = 14 + -21 + 15y Combine like terms: 14 + -21 = -7 5 + 12y = -7 + 15y Solving 5 + 12y = -7 + 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. 5 + 12y + -15y = -7 + 15y + -15y Combine like terms: 12y + -15y = -3y 5 + -3y = -7 + 15y + -15y Combine like terms: 15y + -15y = 0 5 + -3y = -7 + 0 5 + -3y = -7 Add '-5' to each side of the equation. 5 + -5 + -3y = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = -7 + -5 -3y = -7 + -5 Combine like terms: -7 + -5 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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