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Simplifying 7y + 3(y + -4) = 4(y + 1) + -3 Reorder the terms: 7y + 3(-4 + y) = 4(y + 1) + -3 7y + (-4 * 3 + y * 3) = 4(y + 1) + -3 7y + (-12 + 3y) = 4(y + 1) + -3 Reorder the terms: -12 + 7y + 3y = 4(y + 1) + -3 Combine like terms: 7y + 3y = 10y -12 + 10y = 4(y + 1) + -3 Reorder the terms: -12 + 10y = 4(1 + y) + -3 -12 + 10y = (1 * 4 + y * 4) + -3 -12 + 10y = (4 + 4y) + -3 Reorder the terms: -12 + 10y = 4 + -3 + 4y Combine like terms: 4 + -3 = 1 -12 + 10y = 1 + 4y Solving -12 + 10y = 1 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + 10y + -4y = 1 + 4y + -4y Combine like terms: 10y + -4y = 6y -12 + 6y = 1 + 4y + -4y Combine like terms: 4y + -4y = 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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