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Simplifying -3(3y + 4) + -10 = -6(y + 6) + 3y Reorder the terms: -3(4 + 3y) + -10 = -6(y + 6) + 3y (4 * -3 + 3y * -3) + -10 = -6(y + 6) + 3y (-12 + -9y) + -10 = -6(y + 6) + 3y Reorder the terms: -12 + -10 + -9y = -6(y + 6) + 3y Combine like terms: -12 + -10 = -22 -22 + -9y = -6(y + 6) + 3y Reorder the terms: -22 + -9y = -6(6 + y) + 3y -22 + -9y = (6 * -6 + y * -6) + 3y -22 + -9y = (-36 + -6y) + 3y Combine like terms: -6y + 3y = -3y -22 + -9y = -36 + -3y Solving -22 + -9y = -36 + -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. -22 + -9y + 3y = -36 + -3y + 3y Combine like terms: -9y + 3y = -6y -22 + -6y = -36 + -3y + 3y Combine like terms: -3y + 3y = 0 -22 + -6y = -36 + 0 -22 + -6y = -36 Add '22' to each side of the equation. -22 + 22 + -6y = -36 + 22 Combine like terms: -22 + 22 = 0 0 + -6y = -36 + 22 -6y = -36 + 22 Combine like terms: -36 + 22 = -14 -6y = -14 Divide each side by '-6'. y = 2.333333333 Simplifying y = 2.333333333
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