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Simplifying 7(-3y + 7) = 8(3y + -2) Reorder the terms: 7(7 + -3y) = 8(3y + -2) (7 * 7 + -3y * 7) = 8(3y + -2) (49 + -21y) = 8(3y + -2) Reorder the terms: 49 + -21y = 8(-2 + 3y) 49 + -21y = (-2 * 8 + 3y * 8) 49 + -21y = (-16 + 24y) Solving 49 + -21y = -16 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 49 + -21y + -24y = -16 + 24y + -24y Combine like terms: -21y + -24y = -45y 49 + -45y = -16 + 24y + -24y Combine like terms: 24y + -24y = 0 49 + -45y = -16 + 0 49 + -45y = -16 Add '-49' to each side of the equation. 49 + -49 + -45y = -16 + -49 Combine like terms: 49 + -49 = 0 0 + -45y = -16 + -49 -45y = -16 + -49 Combine like terms: -16 + -49 = -65 -45y = -65 Divide each side by '-45'. y = 1.444444444 Simplifying y = 1.444444444
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