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Simplifying 7(2y + -3) = 4(2y + 12) Reorder the terms: 7(-3 + 2y) = 4(2y + 12) (-3 * 7 + 2y * 7) = 4(2y + 12) (-21 + 14y) = 4(2y + 12) Reorder the terms: -21 + 14y = 4(12 + 2y) -21 + 14y = (12 * 4 + 2y * 4) -21 + 14y = (48 + 8y) Solving -21 + 14y = 48 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -21 + 14y + -8y = 48 + 8y + -8y Combine like terms: 14y + -8y = 6y -21 + 6y = 48 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + 6y = 48 + 0 -21 + 6y = 48 Add '21' to each side of the equation. -21 + 21 + 6y = 48 + 21 Combine like terms: -21 + 21 = 0 0 + 6y = 48 + 21 6y = 48 + 21 Combine like terms: 48 + 21 = 69 6y = 69 Divide each side by '6'. y = 11.5 Simplifying y = 11.5
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