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Simplifying -7(-3y + 5) + -2y = 3(y + -8) + -3 Reorder the terms: -7(5 + -3y) + -2y = 3(y + -8) + -3 (5 * -7 + -3y * -7) + -2y = 3(y + -8) + -3 (-35 + 21y) + -2y = 3(y + -8) + -3 Combine like terms: 21y + -2y = 19y -35 + 19y = 3(y + -8) + -3 Reorder the terms: -35 + 19y = 3(-8 + y) + -3 -35 + 19y = (-8 * 3 + y * 3) + -3 -35 + 19y = (-24 + 3y) + -3 Reorder the terms: -35 + 19y = -24 + -3 + 3y Combine like terms: -24 + -3 = -27 -35 + 19y = -27 + 3y Solving -35 + 19y = -27 + 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. -35 + 19y + -3y = -27 + 3y + -3y Combine like terms: 19y + -3y = 16y -35 + 16y = -27 + 3y + -3y Combine like terms: 3y + -3y = 0 -35 + 16y = -27 + 0 -35 + 16y = -27 Add '35' to each side of the equation. -35 + 35 + 16y = -27 + 35 Combine like terms: -35 + 35 = 0 0 + 16y = -27 + 35 16y = -27 + 35 Combine like terms: -27 + 35 = 8 16y = 8 Divide each side by '16'. y = 0.5 Simplifying y = 0.5
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