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