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Simplifying 2(8y + -5) = -3(7 + -4y) Reorder the terms: 2(-5 + 8y) = -3(7 + -4y) (-5 * 2 + 8y * 2) = -3(7 + -4y) (-10 + 16y) = -3(7 + -4y) -10 + 16y = (7 * -3 + -4y * -3) -10 + 16y = (-21 + 12y) Solving -10 + 16y = -21 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -10 + 16y + -12y = -21 + 12y + -12y Combine like terms: 16y + -12y = 4y -10 + 4y = -21 + 12y + -12y Combine like terms: 12y + -12y = 0 -10 + 4y = -21 + 0 -10 + 4y = -21 Add '10' to each side of the equation. -10 + 10 + 4y = -21 + 10 Combine like terms: -10 + 10 = 0 0 + 4y = -21 + 10 4y = -21 + 10 Combine like terms: -21 + 10 = -11 4y = -11 Divide each side by '4'. y = -2.75 Simplifying y = -2.75
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