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Simplifying 2(y + -4) + 3(y + -10) = 10y + 16 Reorder the terms: 2(-4 + y) + 3(y + -10) = 10y + 16 (-4 * 2 + y * 2) + 3(y + -10) = 10y + 16 (-8 + 2y) + 3(y + -10) = 10y + 16 Reorder the terms: -8 + 2y + 3(-10 + y) = 10y + 16 -8 + 2y + (-10 * 3 + y * 3) = 10y + 16 -8 + 2y + (-30 + 3y) = 10y + 16 Reorder the terms: -8 + -30 + 2y + 3y = 10y + 16 Combine like terms: -8 + -30 = -38 -38 + 2y + 3y = 10y + 16 Combine like terms: 2y + 3y = 5y -38 + 5y = 10y + 16 Reorder the terms: -38 + 5y = 16 + 10y Solving -38 + 5y = 16 + 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. -38 + 5y + -10y = 16 + 10y + -10y Combine like terms: 5y + -10y = -5y -38 + -5y = 16 + 10y + -10y Combine like terms: 10y + -10y = 0 -38 + -5y = 16 + 0 -38 + -5y = 16 Add '38' to each side of the equation. -38 + 38 + -5y = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -5y = 16 + 38 -5y = 16 + 38 Combine like terms: 16 + 38 = 54 -5y = 54 Divide each side by '-5'. y = -10.8 Simplifying y = -10.8
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