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Simplifying 12 + -6(17y + 12) = -6(15y + -20) Reorder the terms: 12 + -6(12 + 17y) = -6(15y + -20) 12 + (12 * -6 + 17y * -6) = -6(15y + -20) 12 + (-72 + -102y) = -6(15y + -20) Combine like terms: 12 + -72 = -60 -60 + -102y = -6(15y + -20) Reorder the terms: -60 + -102y = -6(-20 + 15y) -60 + -102y = (-20 * -6 + 15y * -6) -60 + -102y = (120 + -90y) Solving -60 + -102y = 120 + -90y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '90y' to each side of the equation. -60 + -102y + 90y = 120 + -90y + 90y Combine like terms: -102y + 90y = -12y -60 + -12y = 120 + -90y + 90y Combine like terms: -90y + 90y = 0 -60 + -12y = 120 + 0 -60 + -12y = 120 Add '60' to each side of the equation. -60 + 60 + -12y = 120 + 60 Combine like terms: -60 + 60 = 0 0 + -12y = 120 + 60 -12y = 120 + 60 Combine like terms: 120 + 60 = 180 -12y = 180 Divide each side by '-12'. y = -15 Simplifying y = -15
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