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Simplifying 4(2y + -3) = 3(y + 5) Reorder the terms: 4(-3 + 2y) = 3(y + 5) (-3 * 4 + 2y * 4) = 3(y + 5) (-12 + 8y) = 3(y + 5) Reorder the terms: -12 + 8y = 3(5 + y) -12 + 8y = (5 * 3 + y * 3) -12 + 8y = (15 + 3y) Solving -12 + 8y = 15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 8y + -3y = 15 + 3y + -3y Combine like terms: 8y + -3y = 5y -12 + 5y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 5y = 15 + 0 -12 + 5y = 15 Add '12' to each side of the equation. -12 + 12 + 5y = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 15 + 12 5y = 15 + 12 Combine like terms: 15 + 12 = 27 5y = 27 Divide each side by '5'. y = 5.4 Simplifying y = 5.4
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