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Simplifying 5y + -13 = 9(y + -5) Reorder the terms: -13 + 5y = 9(y + -5) Reorder the terms: -13 + 5y = 9(-5 + y) -13 + 5y = (-5 * 9 + y * 9) -13 + 5y = (-45 + 9y) Solving -13 + 5y = -45 + 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. -13 + 5y + -9y = -45 + 9y + -9y Combine like terms: 5y + -9y = -4y -13 + -4y = -45 + 9y + -9y Combine like terms: 9y + -9y = 0 -13 + -4y = -45 + 0 -13 + -4y = -45 Add '13' to each side of the equation. -13 + 13 + -4y = -45 + 13 Combine like terms: -13 + 13 = 0 0 + -4y = -45 + 13 -4y = -45 + 13 Combine like terms: -45 + 13 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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