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Simplifying 5y + -7 = 9y + 13 Reorder the terms: -7 + 5y = 9y + 13 Reorder the terms: -7 + 5y = 13 + 9y Solving -7 + 5y = 13 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -7 + 5y + -9y = 13 + 9y + -9y Combine like terms: 5y + -9y = -4y -7 + -4y = 13 + 9y + -9y Combine like terms: 9y + -9y = 0 -7 + -4y = 13 + 0 -7 + -4y = 13 Add '7' to each side of the equation. -7 + 7 + -4y = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -4y = 13 + 7 -4y = 13 + 7 Combine like terms: 13 + 7 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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