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Simplifying -1(20y + -10) + 3y + -4(2y + 6) = -114 Reorder the terms: -1(-10 + 20y) + 3y + -4(2y + 6) = -114 (-10 * -1 + 20y * -1) + 3y + -4(2y + 6) = -114 (10 + -20y) + 3y + -4(2y + 6) = -114 Reorder the terms: 10 + -20y + 3y + -4(6 + 2y) = -114 10 + -20y + 3y + (6 * -4 + 2y * -4) = -114 10 + -20y + 3y + (-24 + -8y) = -114 Reorder the terms: 10 + -24 + -20y + 3y + -8y = -114 Combine like terms: 10 + -24 = -14 -14 + -20y + 3y + -8y = -114 Combine like terms: -20y + 3y = -17y -14 + -17y + -8y = -114 Combine like terms: -17y + -8y = -25y -14 + -25y = -114 Solving -14 + -25y = -114 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -25y = -114 + 14 Combine like terms: -14 + 14 = 0 0 + -25y = -114 + 14 -25y = -114 + 14 Combine like terms: -114 + 14 = -100 -25y = -100 Divide each side by '-25'. y = 4 Simplifying y = 4
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