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Simplifying 7(-3y + 2) = (-2y + -3) + -2 Reorder the terms: 7(2 + -3y) = (-2y + -3) + -2 (2 * 7 + -3y * 7) = (-2y + -3) + -2 (14 + -21y) = (-2y + -3) + -2 Reorder the terms: 14 + -21y = (-3 + -2y) + -2 Remove parenthesis around (-3 + -2y) 14 + -21y = -3 + -2y + -2 Reorder the terms: 14 + -21y = -3 + -2 + -2y Combine like terms: -3 + -2 = -5 14 + -21y = -5 + -2y Solving 14 + -21y = -5 + -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. 14 + -21y + 2y = -5 + -2y + 2y Combine like terms: -21y + 2y = -19y 14 + -19y = -5 + -2y + 2y Combine like terms: -2y + 2y = 0 14 + -19y = -5 + 0 14 + -19y = -5 Add '-14' to each side of the equation. 14 + -14 + -19y = -5 + -14 Combine like terms: 14 + -14 = 0 0 + -19y = -5 + -14 -19y = -5 + -14 Combine like terms: -5 + -14 = -19 -19y = -19 Divide each side by '-19'. y = 1 Simplifying y = 1
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