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Simplifying -76 + 14y + 4 = 5(4y + -3) + -3 Reorder the terms: -76 + 4 + 14y = 5(4y + -3) + -3 Combine like terms: -76 + 4 = -72 -72 + 14y = 5(4y + -3) + -3 Reorder the terms: -72 + 14y = 5(-3 + 4y) + -3 -72 + 14y = (-3 * 5 + 4y * 5) + -3 -72 + 14y = (-15 + 20y) + -3 Reorder the terms: -72 + 14y = -15 + -3 + 20y Combine like terms: -15 + -3 = -18 -72 + 14y = -18 + 20y Solving -72 + 14y = -18 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -72 + 14y + -20y = -18 + 20y + -20y Combine like terms: 14y + -20y = -6y -72 + -6y = -18 + 20y + -20y Combine like terms: 20y + -20y = 0 -72 + -6y = -18 + 0 -72 + -6y = -18 Add '72' to each side of the equation. -72 + 72 + -6y = -18 + 72 Combine like terms: -72 + 72 = 0 0 + -6y = -18 + 72 -6y = -18 + 72 Combine like terms: -18 + 72 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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