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Simplifying 3y + 13 = 7y + -19 Reorder the terms: 13 + 3y = 7y + -19 Reorder the terms: 13 + 3y = -19 + 7y Solving 13 + 3y = -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 + 3y + -7y = -19 + 7y + -7y Combine like terms: 3y + -7y = -4y 13 + -4y = -19 + 7y + -7y Combine like terms: 7y + -7y = 0 13 + -4y = -19 + 0 13 + -4y = -19 Add '-13' to each side of the equation. 13 + -13 + -4y = -19 + -13 Combine like terms: 13 + -13 = 0 0 + -4y = -19 + -13 -4y = -19 + -13 Combine like terms: -19 + -13 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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