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Simplifying 5(4y + 3) = 3(3y + -4) Reorder the terms: 5(3 + 4y) = 3(3y + -4) (3 * 5 + 4y * 5) = 3(3y + -4) (15 + 20y) = 3(3y + -4) Reorder the terms: 15 + 20y = 3(-4 + 3y) 15 + 20y = (-4 * 3 + 3y * 3) 15 + 20y = (-12 + 9y) Solving 15 + 20y = -12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 15 + 20y + -9y = -12 + 9y + -9y Combine like terms: 20y + -9y = 11y 15 + 11y = -12 + 9y + -9y Combine like terms: 9y + -9y = 0 15 + 11y = -12 + 0 15 + 11y = -12 Add '-15' to each side of the equation. 15 + -15 + 11y = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 11y = -12 + -15 11y = -12 + -15 Combine like terms: -12 + -15 = -27 11y = -27 Divide each side by '11'. y = -2.454545455 Simplifying y = -2.454545455
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