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Simplifying -69 + 13y + 4 = 5(4y + -5) + -5 Reorder the terms: -69 + 4 + 13y = 5(4y + -5) + -5 Combine like terms: -69 + 4 = -65 -65 + 13y = 5(4y + -5) + -5 Reorder the terms: -65 + 13y = 5(-5 + 4y) + -5 -65 + 13y = (-5 * 5 + 4y * 5) + -5 -65 + 13y = (-25 + 20y) + -5 Reorder the terms: -65 + 13y = -25 + -5 + 20y Combine like terms: -25 + -5 = -30 -65 + 13y = -30 + 20y Solving -65 + 13y = -30 + 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. -65 + 13y + -20y = -30 + 20y + -20y Combine like terms: 13y + -20y = -7y -65 + -7y = -30 + 20y + -20y Combine like terms: 20y + -20y = 0 -65 + -7y = -30 + 0 -65 + -7y = -30 Add '65' to each side of the equation. -65 + 65 + -7y = -30 + 65 Combine like terms: -65 + 65 = 0 0 + -7y = -30 + 65 -7y = -30 + 65 Combine like terms: -30 + 65 = 35 -7y = 35 Divide each side by '-7'. y = -5 Simplifying y = -5
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