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Simplifying 2(y + -2) + -4 = -4(-4y + 5) + -5y Reorder the terms: 2(-2 + y) + -4 = -4(-4y + 5) + -5y (-2 * 2 + y * 2) + -4 = -4(-4y + 5) + -5y (-4 + 2y) + -4 = -4(-4y + 5) + -5y Reorder the terms: -4 + -4 + 2y = -4(-4y + 5) + -5y Combine like terms: -4 + -4 = -8 -8 + 2y = -4(-4y + 5) + -5y Reorder the terms: -8 + 2y = -4(5 + -4y) + -5y -8 + 2y = (5 * -4 + -4y * -4) + -5y -8 + 2y = (-20 + 16y) + -5y Combine like terms: 16y + -5y = 11y -8 + 2y = -20 + 11y Solving -8 + 2y = -20 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -8 + 2y + -11y = -20 + 11y + -11y Combine like terms: 2y + -11y = -9y -8 + -9y = -20 + 11y + -11y Combine like terms: 11y + -11y = 0 -8 + -9y = -20 + 0 -8 + -9y = -20 Add '8' to each side of the equation. -8 + 8 + -9y = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -9y = -20 + 8 -9y = -20 + 8 Combine like terms: -20 + 8 = -12 -9y = -12 Divide each side by '-9'. y = 1.333333333 Simplifying y = 1.333333333
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