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Simplifying 8y + 3(y + -4) = 5(y + 1) + -4 Reorder the terms: 8y + 3(-4 + y) = 5(y + 1) + -4 8y + (-4 * 3 + y * 3) = 5(y + 1) + -4 8y + (-12 + 3y) = 5(y + 1) + -4 Reorder the terms: -12 + 8y + 3y = 5(y + 1) + -4 Combine like terms: 8y + 3y = 11y -12 + 11y = 5(y + 1) + -4 Reorder the terms: -12 + 11y = 5(1 + y) + -4 -12 + 11y = (1 * 5 + y * 5) + -4 -12 + 11y = (5 + 5y) + -4 Reorder the terms: -12 + 11y = 5 + -4 + 5y Combine like terms: 5 + -4 = 1 -12 + 11y = 1 + 5y Solving -12 + 11y = 1 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + 11y + -5y = 1 + 5y + -5y Combine like terms: 11y + -5y = 6y -12 + 6y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + 6y = 1 + 0 -12 + 6y = 1 Add '12' to each side of the equation. -12 + 12 + 6y = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 1 + 12 6y = 1 + 12 Combine like terms: 1 + 12 = 13 6y = 13 Divide each side by '6'. y = 2.166666667 Simplifying y = 2.166666667
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