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Simplifying 8(y + -3) + -2(y + 4) = 3(y + 5) Reorder the terms: 8(-3 + y) + -2(y + 4) = 3(y + 5) (-3 * 8 + y * 8) + -2(y + 4) = 3(y + 5) (-24 + 8y) + -2(y + 4) = 3(y + 5) Reorder the terms: -24 + 8y + -2(4 + y) = 3(y + 5) -24 + 8y + (4 * -2 + y * -2) = 3(y + 5) -24 + 8y + (-8 + -2y) = 3(y + 5) Reorder the terms: -24 + -8 + 8y + -2y = 3(y + 5) Combine like terms: -24 + -8 = -32 -32 + 8y + -2y = 3(y + 5) Combine like terms: 8y + -2y = 6y -32 + 6y = 3(y + 5) Reorder the terms: -32 + 6y = 3(5 + y) -32 + 6y = (5 * 3 + y * 3) -32 + 6y = (15 + 3y) Solving -32 + 6y = 15 + 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. -32 + 6y + -3y = 15 + 3y + -3y Combine like terms: 6y + -3y = 3y -32 + 3y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -32 + 3y = 15 + 0 -32 + 3y = 15 Add '32' to each side of the equation. -32 + 32 + 3y = 15 + 32 Combine like terms: -32 + 32 = 0 0 + 3y = 15 + 32 3y = 15 + 32 Combine like terms: 15 + 32 = 47 3y = 47 Divide each side by '3'. y = 15.66666667 Simplifying y = 15.66666667
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