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Simplifying -6y + -5(2y + 2) = -3 + -2(-3 + -1y) Reorder the terms: -6y + -5(2 + 2y) = -3 + -2(-3 + -1y) -6y + (2 * -5 + 2y * -5) = -3 + -2(-3 + -1y) -6y + (-10 + -10y) = -3 + -2(-3 + -1y) Reorder the terms: -10 + -6y + -10y = -3 + -2(-3 + -1y) Combine like terms: -6y + -10y = -16y -10 + -16y = -3 + -2(-3 + -1y) -10 + -16y = -3 + (-3 * -2 + -1y * -2) -10 + -16y = -3 + (6 + 2y) Combine like terms: -3 + 6 = 3 -10 + -16y = 3 + 2y Solving -10 + -16y = 3 + 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. -10 + -16y + -2y = 3 + 2y + -2y Combine like terms: -16y + -2y = -18y -10 + -18y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + -18y = 3 + 0 -10 + -18y = 3 Add '10' to each side of the equation. -10 + 10 + -18y = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -18y = 3 + 10 -18y = 3 + 10 Combine like terms: 3 + 10 = 13 -18y = 13 Divide each side by '-18'. y = -0.7222222222 Simplifying y = -0.7222222222
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