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Simplifying 4(2y + -3) = 2(y + 18) Reorder the terms: 4(-3 + 2y) = 2(y + 18) (-3 * 4 + 2y * 4) = 2(y + 18) (-12 + 8y) = 2(y + 18) Reorder the terms: -12 + 8y = 2(18 + y) -12 + 8y = (18 * 2 + y * 2) -12 + 8y = (36 + 2y) Solving -12 + 8y = 36 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + 8y + -2y = 36 + 2y + -2y Combine like terms: 8y + -2y = 6y -12 + 6y = 36 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 6y = 36 + 0 -12 + 6y = 36 Add '12' to each side of the equation. -12 + 12 + 6y = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 36 + 12 6y = 36 + 12 Combine like terms: 36 + 12 = 48 6y = 48 Divide each side by '6'. y = 8 Simplifying y = 8
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