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Simplifying 3y + -2(5y + 4) = -1 + -4(3 + -1y) Reorder the terms: 3y + -2(4 + 5y) = -1 + -4(3 + -1y) 3y + (4 * -2 + 5y * -2) = -1 + -4(3 + -1y) 3y + (-8 + -10y) = -1 + -4(3 + -1y) Reorder the terms: -8 + 3y + -10y = -1 + -4(3 + -1y) Combine like terms: 3y + -10y = -7y -8 + -7y = -1 + -4(3 + -1y) -8 + -7y = -1 + (3 * -4 + -1y * -4) -8 + -7y = -1 + (-12 + 4y) Combine like terms: -1 + -12 = -13 -8 + -7y = -13 + 4y Solving -8 + -7y = -13 + 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. -8 + -7y + -4y = -13 + 4y + -4y Combine like terms: -7y + -4y = -11y -8 + -11y = -13 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + -11y = -13 + 0 -8 + -11y = -13 Add '8' to each side of the equation. -8 + 8 + -11y = -13 + 8 Combine like terms: -8 + 8 = 0 0 + -11y = -13 + 8 -11y = -13 + 8 Combine like terms: -13 + 8 = -5 -11y = -5 Divide each side by '-11'. y = 0.4545454545 Simplifying y = 0.4545454545
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