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Simplifying -69 + 11y + 5 = 5(3y + -5) + -3 Reorder the terms: -69 + 5 + 11y = 5(3y + -5) + -3 Combine like terms: -69 + 5 = -64 -64 + 11y = 5(3y + -5) + -3 Reorder the terms: -64 + 11y = 5(-5 + 3y) + -3 -64 + 11y = (-5 * 5 + 3y * 5) + -3 -64 + 11y = (-25 + 15y) + -3 Reorder the terms: -64 + 11y = -25 + -3 + 15y Combine like terms: -25 + -3 = -28 -64 + 11y = -28 + 15y Solving -64 + 11y = -28 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -64 + 11y + -15y = -28 + 15y + -15y Combine like terms: 11y + -15y = -4y -64 + -4y = -28 + 15y + -15y Combine like terms: 15y + -15y = 0 -64 + -4y = -28 + 0 -64 + -4y = -28 Add '64' to each side of the equation. -64 + 64 + -4y = -28 + 64 Combine like terms: -64 + 64 = 0 0 + -4y = -28 + 64 -4y = -28 + 64 Combine like terms: -28 + 64 = 36 -4y = 36 Divide each side by '-4'. y = -9 Simplifying y = -9
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