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Simplifying -3(y + 7) + 4 = 2(y + 5) Reorder the terms: -3(7 + y) + 4 = 2(y + 5) (7 * -3 + y * -3) + 4 = 2(y + 5) (-21 + -3y) + 4 = 2(y + 5) Reorder the terms: -21 + 4 + -3y = 2(y + 5) Combine like terms: -21 + 4 = -17 -17 + -3y = 2(y + 5) Reorder the terms: -17 + -3y = 2(5 + y) -17 + -3y = (5 * 2 + y * 2) -17 + -3y = (10 + 2y) Solving -17 + -3y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -17 + -3y + -2y = 10 + 2y + -2y Combine like terms: -3y + -2y = -5y -17 + -5y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 -17 + -5y = 10 + 0 -17 + -5y = 10 Add '17' to each side of the equation. -17 + 17 + -5y = 10 + 17 Combine like terms: -17 + 17 = 0 0 + -5y = 10 + 17 -5y = 10 + 17 Combine like terms: 10 + 17 = 27 -5y = 27 Divide each side by '-5'. y = -5.4 Simplifying y = -5.4
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