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Simplifying 6y + 3(y + -4) = 5(y + 1) + -2 Reorder the terms: 6y + 3(-4 + y) = 5(y + 1) + -2 6y + (-4 * 3 + y * 3) = 5(y + 1) + -2 6y + (-12 + 3y) = 5(y + 1) + -2 Reorder the terms: -12 + 6y + 3y = 5(y + 1) + -2 Combine like terms: 6y + 3y = 9y -12 + 9y = 5(y + 1) + -2 Reorder the terms: -12 + 9y = 5(1 + y) + -2 -12 + 9y = (1 * 5 + y * 5) + -2 -12 + 9y = (5 + 5y) + -2 Reorder the terms: -12 + 9y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -12 + 9y = 3 + 5y Solving -12 + 9y = 3 + 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 + 9y + -5y = 3 + 5y + -5y Combine like terms: 9y + -5y = 4y -12 + 4y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + 4y = 3 + 0 -12 + 4y = 3 Add '12' to each side of the equation. -12 + 12 + 4y = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 3 + 12 4y = 3 + 12 Combine like terms: 3 + 12 = 15 4y = 15 Divide each side by '4'. y = 3.75 Simplifying y = 3.75
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