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Simplifying 5(y + -2) + -1 = -2(-6y + 4) + -1y Reorder the terms: 5(-2 + y) + -1 = -2(-6y + 4) + -1y (-2 * 5 + y * 5) + -1 = -2(-6y + 4) + -1y (-10 + 5y) + -1 = -2(-6y + 4) + -1y Reorder the terms: -10 + -1 + 5y = -2(-6y + 4) + -1y Combine like terms: -10 + -1 = -11 -11 + 5y = -2(-6y + 4) + -1y Reorder the terms: -11 + 5y = -2(4 + -6y) + -1y -11 + 5y = (4 * -2 + -6y * -2) + -1y -11 + 5y = (-8 + 12y) + -1y Combine like terms: 12y + -1y = 11y -11 + 5y = -8 + 11y Solving -11 + 5y = -8 + 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. -11 + 5y + -11y = -8 + 11y + -11y Combine like terms: 5y + -11y = -6y -11 + -6y = -8 + 11y + -11y Combine like terms: 11y + -11y = 0 -11 + -6y = -8 + 0 -11 + -6y = -8 Add '11' to each side of the equation. -11 + 11 + -6y = -8 + 11 Combine like terms: -11 + 11 = 0 0 + -6y = -8 + 11 -6y = -8 + 11 Combine like terms: -8 + 11 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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