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Simplifying 3 + -2(y + -3) = 4y + -7 Reorder the terms: 3 + -2(-3 + y) = 4y + -7 3 + (-3 * -2 + y * -2) = 4y + -7 3 + (6 + -2y) = 4y + -7 Combine like terms: 3 + 6 = 9 9 + -2y = 4y + -7 Reorder the terms: 9 + -2y = -7 + 4y Solving 9 + -2y = -7 + 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. 9 + -2y + -4y = -7 + 4y + -4y Combine like terms: -2y + -4y = -6y 9 + -6y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 9 + -6y = -7 + 0 9 + -6y = -7 Add '-9' to each side of the equation. 9 + -9 + -6y = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -6y = -7 + -9 -6y = -7 + -9 Combine like terms: -7 + -9 = -16 -6y = -16 Divide each side by '-6'. y = 2.666666667 Simplifying y = 2.666666667
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