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Simplifying 2y + 2(y + -4) = 5y + -3(y + -10) Reorder the terms: 2y + 2(-4 + y) = 5y + -3(y + -10) 2y + (-4 * 2 + y * 2) = 5y + -3(y + -10) 2y + (-8 + 2y) = 5y + -3(y + -10) Reorder the terms: -8 + 2y + 2y = 5y + -3(y + -10) Combine like terms: 2y + 2y = 4y -8 + 4y = 5y + -3(y + -10) Reorder the terms: -8 + 4y = 5y + -3(-10 + y) -8 + 4y = 5y + (-10 * -3 + y * -3) -8 + 4y = 5y + (30 + -3y) Reorder the terms: -8 + 4y = 30 + 5y + -3y Combine like terms: 5y + -3y = 2y -8 + 4y = 30 + 2y Solving -8 + 4y = 30 + 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. -8 + 4y + -2y = 30 + 2y + -2y Combine like terms: 4y + -2y = 2y -8 + 2y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + 2y = 30 + 0 -8 + 2y = 30 Add '8' to each side of the equation. -8 + 8 + 2y = 30 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = 30 + 8 2y = 30 + 8 Combine like terms: 30 + 8 = 38 2y = 38 Divide each side by '2'. y = 19 Simplifying y = 19
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