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Simplifying 52 + 5y + -19 = 15y + -9 + -3y Reorder the terms: 52 + -19 + 5y = 15y + -9 + -3y Combine like terms: 52 + -19 = 33 33 + 5y = 15y + -9 + -3y Reorder the terms: 33 + 5y = -9 + 15y + -3y Combine like terms: 15y + -3y = 12y 33 + 5y = -9 + 12y Solving 33 + 5y = -9 + 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. 33 + 5y + -12y = -9 + 12y + -12y Combine like terms: 5y + -12y = -7y 33 + -7y = -9 + 12y + -12y Combine like terms: 12y + -12y = 0 33 + -7y = -9 + 0 33 + -7y = -9 Add '-33' to each side of the equation. 33 + -33 + -7y = -9 + -33 Combine like terms: 33 + -33 = 0 0 + -7y = -9 + -33 -7y = -9 + -33 Combine like terms: -9 + -33 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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