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Simplifying 10y + 2(3y + -12) = 13(y + 3) Reorder the terms: 10y + 2(-12 + 3y) = 13(y + 3) 10y + (-12 * 2 + 3y * 2) = 13(y + 3) 10y + (-24 + 6y) = 13(y + 3) Reorder the terms: -24 + 10y + 6y = 13(y + 3) Combine like terms: 10y + 6y = 16y -24 + 16y = 13(y + 3) Reorder the terms: -24 + 16y = 13(3 + y) -24 + 16y = (3 * 13 + y * 13) -24 + 16y = (39 + 13y) Solving -24 + 16y = 39 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -24 + 16y + -13y = 39 + 13y + -13y Combine like terms: 16y + -13y = 3y -24 + 3y = 39 + 13y + -13y Combine like terms: 13y + -13y = 0 -24 + 3y = 39 + 0 -24 + 3y = 39 Add '24' to each side of the equation. -24 + 24 + 3y = 39 + 24 Combine like terms: -24 + 24 = 0 0 + 3y = 39 + 24 3y = 39 + 24 Combine like terms: 39 + 24 = 63 3y = 63 Divide each side by '3'. y = 21 Simplifying y = 21
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