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Simplifying 2(2y + -4) + -10 = 5(6 + -2y) Reorder the terms: 2(-4 + 2y) + -10 = 5(6 + -2y) (-4 * 2 + 2y * 2) + -10 = 5(6 + -2y) (-8 + 4y) + -10 = 5(6 + -2y) Reorder the terms: -8 + -10 + 4y = 5(6 + -2y) Combine like terms: -8 + -10 = -18 -18 + 4y = 5(6 + -2y) -18 + 4y = (6 * 5 + -2y * 5) -18 + 4y = (30 + -10y) Solving -18 + 4y = 30 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -18 + 4y + 10y = 30 + -10y + 10y Combine like terms: 4y + 10y = 14y -18 + 14y = 30 + -10y + 10y Combine like terms: -10y + 10y = 0 -18 + 14y = 30 + 0 -18 + 14y = 30 Add '18' to each side of the equation. -18 + 18 + 14y = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 14y = 30 + 18 14y = 30 + 18 Combine like terms: 30 + 18 = 48 14y = 48 Divide each side by '14'. y = 3.428571429 Simplifying y = 3.428571429
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