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Simplifying 8(2y + -3) = 3(5y + -7) Reorder the terms: 8(-3 + 2y) = 3(5y + -7) (-3 * 8 + 2y * 8) = 3(5y + -7) (-24 + 16y) = 3(5y + -7) Reorder the terms: -24 + 16y = 3(-7 + 5y) -24 + 16y = (-7 * 3 + 5y * 3) -24 + 16y = (-21 + 15y) Solving -24 + 16y = -21 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -24 + 16y + -15y = -21 + 15y + -15y Combine like terms: 16y + -15y = 1y -24 + 1y = -21 + 15y + -15y Combine like terms: 15y + -15y = 0 -24 + 1y = -21 + 0 -24 + 1y = -21 Add '24' to each side of the equation. -24 + 24 + 1y = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 1y = -21 + 24 1y = -21 + 24 Combine like terms: -21 + 24 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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