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Simplifying -7(3y + 2) = 8(3y + -2) Reorder the terms: -7(2 + 3y) = 8(3y + -2) (2 * -7 + 3y * -7) = 8(3y + -2) (-14 + -21y) = 8(3y + -2) Reorder the terms: -14 + -21y = 8(-2 + 3y) -14 + -21y = (-2 * 8 + 3y * 8) -14 + -21y = (-16 + 24y) Solving -14 + -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. -14 + -21y + -24y = -16 + 24y + -24y Combine like terms: -21y + -24y = -45y -14 + -45y = -16 + 24y + -24y Combine like terms: 24y + -24y = 0 -14 + -45y = -16 + 0 -14 + -45y = -16 Add '14' to each side of the equation. -14 + 14 + -45y = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -45y = -16 + 14 -45y = -16 + 14 Combine like terms: -16 + 14 = -2 -45y = -2 Divide each side by '-45'. y = 0.04444444444 Simplifying y = 0.04444444444
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