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Simplifying 6(y + -3) + -6 = -7(-3y + 3) + -9y Reorder the terms: 6(-3 + y) + -6 = -7(-3y + 3) + -9y (-3 * 6 + y * 6) + -6 = -7(-3y + 3) + -9y (-18 + 6y) + -6 = -7(-3y + 3) + -9y Reorder the terms: -18 + -6 + 6y = -7(-3y + 3) + -9y Combine like terms: -18 + -6 = -24 -24 + 6y = -7(-3y + 3) + -9y Reorder the terms: -24 + 6y = -7(3 + -3y) + -9y -24 + 6y = (3 * -7 + -3y * -7) + -9y -24 + 6y = (-21 + 21y) + -9y Combine like terms: 21y + -9y = 12y -24 + 6y = -21 + 12y Solving -24 + 6y = -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. -24 + 6y + -12y = -21 + 12y + -12y Combine like terms: 6y + -12y = -6y -24 + -6y = -21 + 12y + -12y Combine like terms: 12y + -12y = 0 -24 + -6y = -21 + 0 -24 + -6y = -21 Add '24' to each side of the equation. -24 + 24 + -6y = -21 + 24 Combine like terms: -24 + 24 = 0 0 + -6y = -21 + 24 -6y = -21 + 24 Combine like terms: -21 + 24 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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