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Simplifying 4(2y + -3) = 3(5y + 7) Reorder the terms: 4(-3 + 2y) = 3(5y + 7) (-3 * 4 + 2y * 4) = 3(5y + 7) (-12 + 8y) = 3(5y + 7) Reorder the terms: -12 + 8y = 3(7 + 5y) -12 + 8y = (7 * 3 + 5y * 3) -12 + 8y = (21 + 15y) Solving -12 + 8y = 21 + 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. -12 + 8y + -15y = 21 + 15y + -15y Combine like terms: 8y + -15y = -7y -12 + -7y = 21 + 15y + -15y Combine like terms: 15y + -15y = 0 -12 + -7y = 21 + 0 -12 + -7y = 21 Add '12' to each side of the equation. -12 + 12 + -7y = 21 + 12 Combine like terms: -12 + 12 = 0 0 + -7y = 21 + 12 -7y = 21 + 12 Combine like terms: 21 + 12 = 33 -7y = 33 Divide each side by '-7'. y = -4.714285714 Simplifying y = -4.714285714
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