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Simplifying 6(3y + -2) = -1(3y + 5) Reorder the terms: 6(-2 + 3y) = -1(3y + 5) (-2 * 6 + 3y * 6) = -1(3y + 5) (-12 + 18y) = -1(3y + 5) Reorder the terms: -12 + 18y = -1(5 + 3y) -12 + 18y = (5 * -1 + 3y * -1) -12 + 18y = (-5 + -3y) Solving -12 + 18y = -5 + -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. -12 + 18y + 3y = -5 + -3y + 3y Combine like terms: 18y + 3y = 21y -12 + 21y = -5 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + 21y = -5 + 0 -12 + 21y = -5 Add '12' to each side of the equation. -12 + 12 + 21y = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 21y = -5 + 12 21y = -5 + 12 Combine like terms: -5 + 12 = 7 21y = 7 Divide each side by '21'. y = 0.3333333333 Simplifying y = 0.3333333333
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