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Simplifying 3y + -9 = -2 + 5(y + 7) Reorder the terms: -9 + 3y = -2 + 5(y + 7) Reorder the terms: -9 + 3y = -2 + 5(7 + y) -9 + 3y = -2 + (7 * 5 + y * 5) -9 + 3y = -2 + (35 + 5y) Combine like terms: -2 + 35 = 33 -9 + 3y = 33 + 5y Solving -9 + 3y = 33 + 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. -9 + 3y + -5y = 33 + 5y + -5y Combine like terms: 3y + -5y = -2y -9 + -2y = 33 + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + -2y = 33 + 0 -9 + -2y = 33 Add '9' to each side of the equation. -9 + 9 + -2y = 33 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = 33 + 9 -2y = 33 + 9 Combine like terms: 33 + 9 = 42 -2y = 42 Divide each side by '-2'. y = -21 Simplifying y = -21
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