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Simplifying -4(-7y + 6) + -9y = 3(y + -3) + -1 Reorder the terms: -4(6 + -7y) + -9y = 3(y + -3) + -1 (6 * -4 + -7y * -4) + -9y = 3(y + -3) + -1 (-24 + 28y) + -9y = 3(y + -3) + -1 Combine like terms: 28y + -9y = 19y -24 + 19y = 3(y + -3) + -1 Reorder the terms: -24 + 19y = 3(-3 + y) + -1 -24 + 19y = (-3 * 3 + y * 3) + -1 -24 + 19y = (-9 + 3y) + -1 Reorder the terms: -24 + 19y = -9 + -1 + 3y Combine like terms: -9 + -1 = -10 -24 + 19y = -10 + 3y Solving -24 + 19y = -10 + 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. -24 + 19y + -3y = -10 + 3y + -3y Combine like terms: 19y + -3y = 16y -24 + 16y = -10 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 16y = -10 + 0 -24 + 16y = -10 Add '24' to each side of the equation. -24 + 24 + 16y = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 16y = -10 + 24 16y = -10 + 24 Combine like terms: -10 + 24 = 14 16y = 14 Divide each side by '16'. y = 0.875 Simplifying y = 0.875
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