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Simplifying 4y + -43 = -3(y + -2) Reorder the terms: -43 + 4y = -3(y + -2) Reorder the terms: -43 + 4y = -3(-2 + y) -43 + 4y = (-2 * -3 + y * -3) -43 + 4y = (6 + -3y) Solving -43 + 4y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -43 + 4y + 3y = 6 + -3y + 3y Combine like terms: 4y + 3y = 7y -43 + 7y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 -43 + 7y = 6 + 0 -43 + 7y = 6 Add '43' to each side of the equation. -43 + 43 + 7y = 6 + 43 Combine like terms: -43 + 43 = 0 0 + 7y = 6 + 43 7y = 6 + 43 Combine like terms: 6 + 43 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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