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Simplifying -2(-9y + 6) + -6y = 4(y + -5) + -2 Reorder the terms: -2(6 + -9y) + -6y = 4(y + -5) + -2 (6 * -2 + -9y * -2) + -6y = 4(y + -5) + -2 (-12 + 18y) + -6y = 4(y + -5) + -2 Combine like terms: 18y + -6y = 12y -12 + 12y = 4(y + -5) + -2 Reorder the terms: -12 + 12y = 4(-5 + y) + -2 -12 + 12y = (-5 * 4 + y * 4) + -2 -12 + 12y = (-20 + 4y) + -2 Reorder the terms: -12 + 12y = -20 + -2 + 4y Combine like terms: -20 + -2 = -22 -12 + 12y = -22 + 4y Solving -12 + 12y = -22 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + 12y + -4y = -22 + 4y + -4y Combine like terms: 12y + -4y = 8y -12 + 8y = -22 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + 8y = -22 + 0 -12 + 8y = -22 Add '12' to each side of the equation. -12 + 12 + 8y = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = -22 + 12 8y = -22 + 12 Combine like terms: -22 + 12 = -10 8y = -10 Divide each side by '8'. y = -1.25 Simplifying y = -1.25
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