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Simplifying 3(y + -5) + 4(y + 4) + -10 = 19 Reorder the terms: 3(-5 + y) + 4(y + 4) + -10 = 19 (-5 * 3 + y * 3) + 4(y + 4) + -10 = 19 (-15 + 3y) + 4(y + 4) + -10 = 19 Reorder the terms: -15 + 3y + 4(4 + y) + -10 = 19 -15 + 3y + (4 * 4 + y * 4) + -10 = 19 -15 + 3y + (16 + 4y) + -10 = 19 Reorder the terms: -15 + 16 + -10 + 3y + 4y = 19 Combine like terms: -15 + 16 = 1 1 + -10 + 3y + 4y = 19 Combine like terms: 1 + -10 = -9 -9 + 3y + 4y = 19 Combine like terms: 3y + 4y = 7y -9 + 7y = 19 Solving -9 + 7y = 19 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7y = 19 + 9 Combine like terms: -9 + 9 = 0 0 + 7y = 19 + 9 7y = 19 + 9 Combine like terms: 19 + 9 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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