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Simplifying 4y + -2(5y + 1) = 16 + 3(4y + -10) Reorder the terms: 4y + -2(1 + 5y) = 16 + 3(4y + -10) 4y + (1 * -2 + 5y * -2) = 16 + 3(4y + -10) 4y + (-2 + -10y) = 16 + 3(4y + -10) Reorder the terms: -2 + 4y + -10y = 16 + 3(4y + -10) Combine like terms: 4y + -10y = -6y -2 + -6y = 16 + 3(4y + -10) Reorder the terms: -2 + -6y = 16 + 3(-10 + 4y) -2 + -6y = 16 + (-10 * 3 + 4y * 3) -2 + -6y = 16 + (-30 + 12y) Combine like terms: 16 + -30 = -14 -2 + -6y = -14 + 12y Solving -2 + -6y = -14 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -2 + -6y + -12y = -14 + 12y + -12y Combine like terms: -6y + -12y = -18y -2 + -18y = -14 + 12y + -12y Combine like terms: 12y + -12y = 0 -2 + -18y = -14 + 0 -2 + -18y = -14 Add '2' to each side of the equation. -2 + 2 + -18y = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -18y = -14 + 2 -18y = -14 + 2 Combine like terms: -14 + 2 = -12 -18y = -12 Divide each side by '-18'. y = 0.6666666667 Simplifying y = 0.6666666667
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