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Simplifying 4y + 6 = -3(2y + 4) Reorder the terms: 6 + 4y = -3(2y + 4) Reorder the terms: 6 + 4y = -3(4 + 2y) 6 + 4y = (4 * -3 + 2y * -3) 6 + 4y = (-12 + -6y) Solving 6 + 4y = -12 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 6 + 4y + 6y = -12 + -6y + 6y Combine like terms: 4y + 6y = 10y 6 + 10y = -12 + -6y + 6y Combine like terms: -6y + 6y = 0 6 + 10y = -12 + 0 6 + 10y = -12 Add '-6' to each side of the equation. 6 + -6 + 10y = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 10y = -12 + -6 10y = -12 + -6 Combine like terms: -12 + -6 = -18 10y = -18 Divide each side by '10'. y = -1.8 Simplifying y = -1.8
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