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Simplifying 7(y + -3) = 4(y + -2) Reorder the terms: 7(-3 + y) = 4(y + -2) (-3 * 7 + y * 7) = 4(y + -2) (-21 + 7y) = 4(y + -2) Reorder the terms: -21 + 7y = 4(-2 + y) -21 + 7y = (-2 * 4 + y * 4) -21 + 7y = (-8 + 4y) Solving -21 + 7y = -8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -21 + 7y + -4y = -8 + 4y + -4y Combine like terms: 7y + -4y = 3y -21 + 3y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 -21 + 3y = -8 + 0 -21 + 3y = -8 Add '21' to each side of the equation. -21 + 21 + 3y = -8 + 21 Combine like terms: -21 + 21 = 0 0 + 3y = -8 + 21 3y = -8 + 21 Combine like terms: -8 + 21 = 13 3y = 13 Divide each side by '3'. y = 4.333333333 Simplifying y = 4.333333333
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