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Simplifying 5[3(5y + -4) + -2(7y + 6)] + 3y + -8 = 0 Reorder the terms: 5[3(-4 + 5y) + -2(7y + 6)] + 3y + -8 = 0 5[(-4 * 3 + 5y * 3) + -2(7y + 6)] + 3y + -8 = 0 5[(-12 + 15y) + -2(7y + 6)] + 3y + -8 = 0 Reorder the terms: 5[-12 + 15y + -2(6 + 7y)] + 3y + -8 = 0 5[-12 + 15y + (6 * -2 + 7y * -2)] + 3y + -8 = 0 5[-12 + 15y + (-12 + -14y)] + 3y + -8 = 0 Reorder the terms: 5[-12 + -12 + 15y + -14y] + 3y + -8 = 0 Combine like terms: -12 + -12 = -24 5[-24 + 15y + -14y] + 3y + -8 = 0 Combine like terms: 15y + -14y = 1y 5[-24 + 1y] + 3y + -8 = 0 [-24 * 5 + 1y * 5] + 3y + -8 = 0 [-120 + 5y] + 3y + -8 = 0 Reorder the terms: -120 + -8 + 5y + 3y = 0 Combine like terms: -120 + -8 = -128 -128 + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y -128 + 8y = 0 Solving -128 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '128' to each side of the equation. -128 + 128 + 8y = 0 + 128 Combine like terms: -128 + 128 = 0 0 + 8y = 0 + 128 8y = 0 + 128 Combine like terms: 0 + 128 = 128 8y = 128 Divide each side by '8'. y = 16 Simplifying y = 16
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