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Simplifying 3(y + -7) = 5(y + -5) Reorder the terms: 3(-7 + y) = 5(y + -5) (-7 * 3 + y * 3) = 5(y + -5) (-21 + 3y) = 5(y + -5) Reorder the terms: -21 + 3y = 5(-5 + y) -21 + 3y = (-5 * 5 + y * 5) -21 + 3y = (-25 + 5y) Solving -21 + 3y = -25 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -21 + 3y + -5y = -25 + 5y + -5y Combine like terms: 3y + -5y = -2y -21 + -2y = -25 + 5y + -5y Combine like terms: 5y + -5y = 0 -21 + -2y = -25 + 0 -21 + -2y = -25 Add '21' to each side of the equation. -21 + 21 + -2y = -25 + 21 Combine like terms: -21 + 21 = 0 0 + -2y = -25 + 21 -2y = -25 + 21 Combine like terms: -25 + 21 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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