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Simplifying 8y + 3(y + -4) = 3(y + 1) + -2 Reorder the terms: 8y + 3(-4 + y) = 3(y + 1) + -2 8y + (-4 * 3 + y * 3) = 3(y + 1) + -2 8y + (-12 + 3y) = 3(y + 1) + -2 Reorder the terms: -12 + 8y + 3y = 3(y + 1) + -2 Combine like terms: 8y + 3y = 11y -12 + 11y = 3(y + 1) + -2 Reorder the terms: -12 + 11y = 3(1 + y) + -2 -12 + 11y = (1 * 3 + y * 3) + -2 -12 + 11y = (3 + 3y) + -2 Reorder the terms: -12 + 11y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -12 + 11y = 1 + 3y Solving -12 + 11y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 11y + -3y = 1 + 3y + -3y Combine like terms: 11y + -3y = 8y -12 + 8y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 8y = 1 + 0 -12 + 8y = 1 Add '12' to each side of the equation. -12 + 12 + 8y = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 1 + 12 8y = 1 + 12 Combine like terms: 1 + 12 = 13 8y = 13 Divide each side by '8'. y = 1.625 Simplifying y = 1.625
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