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Simplifying 6y + 3(y + -4) = (y + 1) + -2 Reorder the terms: 6y + 3(-4 + y) = (y + 1) + -2 6y + (-4 * 3 + y * 3) = (y + 1) + -2 6y + (-12 + 3y) = (y + 1) + -2 Reorder the terms: -12 + 6y + 3y = (y + 1) + -2 Combine like terms: 6y + 3y = 9y -12 + 9y = (y + 1) + -2 Reorder the terms: -12 + 9y = (1 + y) + -2 Remove parenthesis around (1 + y) -12 + 9y = 1 + y + -2 Reorder the terms: -12 + 9y = 1 + -2 + y Combine like terms: 1 + -2 = -1 -12 + 9y = -1 + y Solving -12 + 9y = -1 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -12 + 9y + -1y = -1 + y + -1y Combine like terms: 9y + -1y = 8y -12 + 8y = -1 + y + -1y Combine like terms: y + -1y = 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 = 11 8y = 11 Divide each side by '8'. y = 1.375 Simplifying y = 1.375
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