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Simplifying -4(y + 7) + 11 = 38 + -2(6y + -5) Reorder the terms: -4(7 + y) + 11 = 38 + -2(6y + -5) (7 * -4 + y * -4) + 11 = 38 + -2(6y + -5) (-28 + -4y) + 11 = 38 + -2(6y + -5) Reorder the terms: -28 + 11 + -4y = 38 + -2(6y + -5) Combine like terms: -28 + 11 = -17 -17 + -4y = 38 + -2(6y + -5) Reorder the terms: -17 + -4y = 38 + -2(-5 + 6y) -17 + -4y = 38 + (-5 * -2 + 6y * -2) -17 + -4y = 38 + (10 + -12y) Combine like terms: 38 + 10 = 48 -17 + -4y = 48 + -12y Solving -17 + -4y = 48 + -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. -17 + -4y + 12y = 48 + -12y + 12y Combine like terms: -4y + 12y = 8y -17 + 8y = 48 + -12y + 12y Combine like terms: -12y + 12y = 0 -17 + 8y = 48 + 0 -17 + 8y = 48 Add '17' to each side of the equation. -17 + 17 + 8y = 48 + 17 Combine like terms: -17 + 17 = 0 0 + 8y = 48 + 17 8y = 48 + 17 Combine like terms: 48 + 17 = 65 8y = 65 Divide each side by '8'. y = 8.125 Simplifying y = 8.125
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