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Simplifying 2 + 2(-8y + 7) = 3(-6y + -8) + 4 Reorder the terms: 2 + 2(7 + -8y) = 3(-6y + -8) + 4 2 + (7 * 2 + -8y * 2) = 3(-6y + -8) + 4 2 + (14 + -16y) = 3(-6y + -8) + 4 Combine like terms: 2 + 14 = 16 16 + -16y = 3(-6y + -8) + 4 Reorder the terms: 16 + -16y = 3(-8 + -6y) + 4 16 + -16y = (-8 * 3 + -6y * 3) + 4 16 + -16y = (-24 + -18y) + 4 Reorder the terms: 16 + -16y = -24 + 4 + -18y Combine like terms: -24 + 4 = -20 16 + -16y = -20 + -18y Solving 16 + -16y = -20 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. 16 + -16y + 18y = -20 + -18y + 18y Combine like terms: -16y + 18y = 2y 16 + 2y = -20 + -18y + 18y Combine like terms: -18y + 18y = 0 16 + 2y = -20 + 0 16 + 2y = -20 Add '-16' to each side of the equation. 16 + -16 + 2y = -20 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = -20 + -16 2y = -20 + -16 Combine like terms: -20 + -16 = -36 2y = -36 Divide each side by '2'. y = -18 Simplifying y = -18
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