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Simplifying 4(y + -4) = 7y + -43 Reorder the terms: 4(-4 + y) = 7y + -43 (-4 * 4 + y * 4) = 7y + -43 (-16 + 4y) = 7y + -43 Reorder the terms: -16 + 4y = -43 + 7y Solving -16 + 4y = -43 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -16 + 4y + -7y = -43 + 7y + -7y Combine like terms: 4y + -7y = -3y -16 + -3y = -43 + 7y + -7y Combine like terms: 7y + -7y = 0 -16 + -3y = -43 + 0 -16 + -3y = -43 Add '16' to each side of the equation. -16 + 16 + -3y = -43 + 16 Combine like terms: -16 + 16 = 0 0 + -3y = -43 + 16 -3y = -43 + 16 Combine like terms: -43 + 16 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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