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Simplifying -7(y + 3) = 2y + -9 + 2(3y + 3) Reorder the terms: -7(3 + y) = 2y + -9 + 2(3y + 3) (3 * -7 + y * -7) = 2y + -9 + 2(3y + 3) (-21 + -7y) = 2y + -9 + 2(3y + 3) Reorder the terms: -21 + -7y = 2y + -9 + 2(3 + 3y) -21 + -7y = 2y + -9 + (3 * 2 + 3y * 2) -21 + -7y = 2y + -9 + (6 + 6y) Reorder the terms: -21 + -7y = -9 + 6 + 2y + 6y Combine like terms: -9 + 6 = -3 -21 + -7y = -3 + 2y + 6y Combine like terms: 2y + 6y = 8y -21 + -7y = -3 + 8y Solving -21 + -7y = -3 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -21 + -7y + -8y = -3 + 8y + -8y Combine like terms: -7y + -8y = -15y -21 + -15y = -3 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + -15y = -3 + 0 -21 + -15y = -3 Add '21' to each side of the equation. -21 + 21 + -15y = -3 + 21 Combine like terms: -21 + 21 = 0 0 + -15y = -3 + 21 -15y = -3 + 21 Combine like terms: -3 + 21 = 18 -15y = 18 Divide each side by '-15'. y = -1.2 Simplifying y = -1.2
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