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Simplifying 5y + 6 = 4(2y + -3) Reorder the terms: 6 + 5y = 4(2y + -3) Reorder the terms: 6 + 5y = 4(-3 + 2y) 6 + 5y = (-3 * 4 + 2y * 4) 6 + 5y = (-12 + 8y) Solving 6 + 5y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 6 + 5y + -8y = -12 + 8y + -8y Combine like terms: 5y + -8y = -3y 6 + -3y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 6 + -3y = -12 + 0 6 + -3y = -12 Add '-6' to each side of the equation. 6 + -6 + -3y = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3y = -12 + -6 -3y = -12 + -6 Combine like terms: -12 + -6 = -18 -3y = -18 Divide each side by '-3'. y = 6 Simplifying y = 6
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