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Simplifying 5y + -13 = 7y + -19 Reorder the terms: -13 + 5y = 7y + -19 Reorder the terms: -13 + 5y = -19 + 7y Solving -13 + 5y = -19 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -13 + 5y + -7y = -19 + 7y + -7y Combine like terms: 5y + -7y = -2y -13 + -2y = -19 + 7y + -7y Combine like terms: 7y + -7y = 0 -13 + -2y = -19 + 0 -13 + -2y = -19 Add '13' to each side of the equation. -13 + 13 + -2y = -19 + 13 Combine like terms: -13 + 13 = 0 0 + -2y = -19 + 13 -2y = -19 + 13 Combine like terms: -19 + 13 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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