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Simplifying 5y + -43 = 9(y + -7) Reorder the terms: -43 + 5y = 9(y + -7) Reorder the terms: -43 + 5y = 9(-7 + y) -43 + 5y = (-7 * 9 + y * 9) -43 + 5y = (-63 + 9y) Solving -43 + 5y = -63 + 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. -43 + 5y + -9y = -63 + 9y + -9y Combine like terms: 5y + -9y = -4y -43 + -4y = -63 + 9y + -9y Combine like terms: 9y + -9y = 0 -43 + -4y = -63 + 0 -43 + -4y = -63 Add '43' to each side of the equation. -43 + 43 + -4y = -63 + 43 Combine like terms: -43 + 43 = 0 0 + -4y = -63 + 43 -4y = -63 + 43 Combine like terms: -63 + 43 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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