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Simplifying -57 + 11y + 7 = 4(5y + -2) + -6 Reorder the terms: -57 + 7 + 11y = 4(5y + -2) + -6 Combine like terms: -57 + 7 = -50 -50 + 11y = 4(5y + -2) + -6 Reorder the terms: -50 + 11y = 4(-2 + 5y) + -6 -50 + 11y = (-2 * 4 + 5y * 4) + -6 -50 + 11y = (-8 + 20y) + -6 Reorder the terms: -50 + 11y = -8 + -6 + 20y Combine like terms: -8 + -6 = -14 -50 + 11y = -14 + 20y Solving -50 + 11y = -14 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -50 + 11y + -20y = -14 + 20y + -20y Combine like terms: 11y + -20y = -9y -50 + -9y = -14 + 20y + -20y Combine like terms: 20y + -20y = 0 -50 + -9y = -14 + 0 -50 + -9y = -14 Add '50' to each side of the equation. -50 + 50 + -9y = -14 + 50 Combine like terms: -50 + 50 = 0 0 + -9y = -14 + 50 -9y = -14 + 50 Combine like terms: -14 + 50 = 36 -9y = 36 Divide each side by '-9'. y = -4 Simplifying y = -4
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