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Simplifying 3y + 19 = 5y + -7 Reorder the terms: 19 + 3y = 5y + -7 Reorder the terms: 19 + 3y = -7 + 5y Solving 19 + 3y = -7 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 19 + 3y + -5y = -7 + 5y + -5y Combine like terms: 3y + -5y = -2y 19 + -2y = -7 + 5y + -5y Combine like terms: 5y + -5y = 0 19 + -2y = -7 + 0 19 + -2y = -7 Add '-19' to each side of the equation. 19 + -19 + -2y = -7 + -19 Combine like terms: 19 + -19 = 0 0 + -2y = -7 + -19 -2y = -7 + -19 Combine like terms: -7 + -19 = -26 -2y = -26 Divide each side by '-2'. y = 13 Simplifying y = 13
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