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Simplifying 7(-3y + 3) = 8(3y + -2) Reorder the terms: 7(3 + -3y) = 8(3y + -2) (3 * 7 + -3y * 7) = 8(3y + -2) (21 + -21y) = 8(3y + -2) Reorder the terms: 21 + -21y = 8(-2 + 3y) 21 + -21y = (-2 * 8 + 3y * 8) 21 + -21y = (-16 + 24y) Solving 21 + -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. 21 + -21y + -24y = -16 + 24y + -24y Combine like terms: -21y + -24y = -45y 21 + -45y = -16 + 24y + -24y Combine like terms: 24y + -24y = 0 21 + -45y = -16 + 0 21 + -45y = -16 Add '-21' to each side of the equation. 21 + -21 + -45y = -16 + -21 Combine like terms: 21 + -21 = 0 0 + -45y = -16 + -21 -45y = -16 + -21 Combine like terms: -16 + -21 = -37 -45y = -37 Divide each side by '-45'. y = 0.8222222222 Simplifying y = 0.8222222222
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