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Simplifying -34 + 12y + 9 = 3(5y + -3) + -4 Reorder the terms: -34 + 9 + 12y = 3(5y + -3) + -4 Combine like terms: -34 + 9 = -25 -25 + 12y = 3(5y + -3) + -4 Reorder the terms: -25 + 12y = 3(-3 + 5y) + -4 -25 + 12y = (-3 * 3 + 5y * 3) + -4 -25 + 12y = (-9 + 15y) + -4 Reorder the terms: -25 + 12y = -9 + -4 + 15y Combine like terms: -9 + -4 = -13 -25 + 12y = -13 + 15y Solving -25 + 12y = -13 + 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. -25 + 12y + -15y = -13 + 15y + -15y Combine like terms: 12y + -15y = -3y -25 + -3y = -13 + 15y + -15y Combine like terms: 15y + -15y = 0 -25 + -3y = -13 + 0 -25 + -3y = -13 Add '25' to each side of the equation. -25 + 25 + -3y = -13 + 25 Combine like terms: -25 + 25 = 0 0 + -3y = -13 + 25 -3y = -13 + 25 Combine like terms: -13 + 25 = 12 -3y = 12 Divide each side by '-3'. y = -4 Simplifying y = -4
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